{"id":19757,"date":"2025-05-10T13:02:16","date_gmt":"2025-05-10T04:02:16","guid":{"rendered":"https:\/\/123210.net\/wordpress\/tatenaoshi\/?p=19757"},"modified":"2025-05-10T13:02:16","modified_gmt":"2025-05-10T04:02:16","slug":"%e9%87%8d%e5%8a%9b%e6%b3%a2%e3%81%a8%e3%83%9b%e3%83%83%e3%82%b8%e5%88%86%e8%a7%a3%e3%81%ae%e9%96%a2%e4%bf%82%e3%81%ab%e3%81%a4%e3%81%84%e3%81%a6%e6%95%99%e3%81%88%e3%81%a6%e3%81%8f%e3%81%a0%e3%81%95","status":"publish","type":"post","link":"https:\/\/123210.net\/wordpress\/tatenaoshi\/%e9%87%8d%e5%8a%9b%e6%b3%a2%e3%81%a8%e3%83%9b%e3%83%83%e3%82%b8%e5%88%86%e8%a7%a3%e3%81%ae%e9%96%a2%e4%bf%82%e3%81%ab%e3%81%a4%e3%81%84%e3%81%a6%e6%95%99%e3%81%88%e3%81%a6%e3%81%8f%e3%81%a0%e3%81%95\/","title":{"rendered":"\u91cd\u529b\u6ce2\u3068\u30db\u30c3\u30b8\u5206\u89e3\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u6559\u3048\u3066\u304f\u3060\u3055\u3044"},"content":{"rendered":"
\n
\u91cd\u529b\u6ce2\u3068\u30db\u30c3\u30b8\u5206\u89e3\u306e\u95a2\u4fc2\u306f\u3001\u91cd\u529b\u6ce2\u306e\u7269\u7406\u7684\u7279\u6027\u3092\u8a18\u8ff0\u3059\u308b\u969b\u306b\u3001\u6642\u7a7a\u306e\u6442\u52d5\uff08\u30e1\u30c8\u30ea\u30c3\u30af\u30c6\u30f3\u30bd\u30eb\u3084\u95a2\u9023\u3059\u308b\u30d9\u30af\u30c8\u30eb\u5834\u30fb\u30c6\u30f3\u30bd\u30eb\u5834\uff09\u3092\u6570\u5b66\u7684\u306b\u5206\u89e3\u3057\u3001\u305d\u306e\u632f\u308b\u821e\u3044\u3092\u89e3\u6790\u3059\u308b\u6587\u8108\u3067\u73fe\u308c\u307e\u3059\u3002\u30db\u30c3\u30b8\u5206\u89e3\uff08\u307e\u305f\u306f\u305d\u306e\u7279\u6b8a\u306a\u5834\u5408\u3067\u3042\u308b\u30d8\u30eb\u30e0\u30db\u30eb\u30c4\u5206\u89e3\uff09\u306f\u3001\u91cd\u529b\u6ce2\u306b\u95a2\u9023\u3059\u308b\u5834\uff08\u4f8b\uff1a\u5909\u4f4d\u5834\u3001\u30b2\u30fc\u30b8\u5834\u3001\u30c6\u30f3\u30bd\u30eb\u5834\uff09\u3092\u300c\u767a\u6563\u6210\u5206\u300d\u300c\u56de\u8ee2\u6210\u5206\u300d\u300c\u8abf\u548c\u6210\u5206\u300d\u306b\u5206\u96e2\u3059\u308b\u30c4\u30fc\u30eb\u3068\u3057\u3066\u5f79\u7acb\u3061\u307e\u3059\u3002\u7279\u306b\u3001\u4e00\u822c\u76f8\u5bfe\u8ad6\u306b\u304a\u3051\u308b\u91cd\u529b\u6ce2\u306e\u4f1d\u64ad\u3084\u89b3\u6e2c\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u306b\u304a\u3044\u3066\u3001\u30db\u30c3\u30b8\u5206\u89e3\u306f\u5834\u306e\u81ea\u7531\u5ea6\u3092\u6574\u7406\u3057\u3001\u7269\u7406\u7684\u610f\u5473\u3092\u62bd\u51fa\u3059\u308b\u306e\u306b\u6709\u7528\u3067\u3059\u3002\u4ee5\u4e0b\u306b\u3001\u91cd\u529b\u6ce2\u3068\u30db\u30c3\u30b8\u5206\u89e3\u306e\u95a2\u4fc2\u3092\u3001\u7269\u7406\u5b66\u7684\u80cc\u666f\u3001\u6570\u5b66\u7684\u67a0\u7d44\u307f\u3001\u5fdc\u7528\u4f8b\u3092\u901a\u3058\u3066\u8a73\u7d30\u306b\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/span><\/div>\n
\n
1. \u91cd\u529b\u6ce2\u306e\u6982\u8981<\/span><\/span><\/div>\n
\u91cd\u529b\u6ce2\u306f\u3001\u4e00\u822c\u76f8\u5bfe\u8ad6\u306b\u57fa\u3065\u304f\u6642\u7a7a\u306e\u52d5\u7684\u306a\u6442\u52d5\u3067\u3001\u8cea\u91cf\u306e\u52a0\u901f\u904b\u52d5\uff08\u4f8b\uff1a\u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb\u5408\u4f53\uff09\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u3001\u5149\u901f\u3067\u4f1d\u64ad\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u305d\u306e\u57fa\u672c\u7684\u306a\u7279\u5fb4\u3067\u3059\uff1a<\/span><\/span><\/div>\n
    \n
  • \n
    \u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5<\/span><\/span><\/span>\uff1a\u91cd\u529b\u6ce2\u306f\u3001\u5e73\u5766\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u6642\u7a7a\u304b\u3089\u306e\u5c0f\u3055\u306a\u6442\u52d5\u3068\u3057\u3066\u8a18\u8ff0\u3055\u308c\u308b\uff1a<\/span><\/span><\/div>\n
    g\u03bc\u03bd=\u03b7\u03bc\u03bd+h\u03bc\u03bd,\u2223h\u03bc\u03bd\u2223\u226a1,g_{\\mu\\nu} = \\eta_{\\mu\\nu} + h_{\\mu\\nu}, \\quad |h_{\\mu\\nu}| \\ll 1,<\/span>g_{\\mu\\nu} = \\eta_{\\mu\\nu} + h_{\\mu\\nu}, \\quad |h_{\\mu\\nu}| \\ll 1,<\/code><\/div>\n
    \u3053\u3053\u3067 <\/span><\/span><\/p>\n
    h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

    \u306f\u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5\u30c6\u30f3\u30bd\u30eb\u3002<\/span><\/span><\/div>\n<\/li>\n

  • \n
    \u81ea\u7531\u5ea6<\/span><\/span><\/span>\uff1a\u91cd\u529b\u6ce2\u306f\u6a2a\u6ce2\uff08transverse\uff09\u304b\u3064\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\uff08traceless\uff09\u3067\u30012\u3064\u306e\u504f\u5149\u30e2\u30fc\u30c9\uff08\u300c\uff0b\u300d\u3068\u300c\u00d7\u300d\uff09\u3092\u6301\u3064\u3002<\/span><\/span><\/div>\n<\/li>\n
  • \n
    \u6ce2\u52d5\u65b9\u7a0b\u5f0f<\/span><\/span><\/span>\uff1a\u7dda\u5f62\u5316\u3055\u308c\u305f\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u65b9\u7a0b\u5f0f\u3067\u306f\u3001<\/span><\/span><\/p>\n
    h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

    \u306f\u6ce2\u52d5\u65b9\u7a0b\u5f0f\u306b\u5f93\u3046\uff1a<\/span><\/span><\/div>\n

    \u25a1h\u03bc\u03bd=0(\u25a1=\u2202t2\u2212\u22072),\\Box h_{\\mu\\nu} = 0 \\quad (\\Box = \\partial_t^2 – \\nabla^2),<\/span>\\Box h_{\\mu\\nu} = 0 \\quad (\\Box = \\partial_t^2 - \\nabla^2),<\/code><\/div>\n
    \u3053\u3053\u3067\u9069\u5207\u306a\u30b2\u30fc\u30b8\u6761\u4ef6\uff08\u4f8b\uff1a\u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u30b2\u30fc\u30b8\u3001<\/span><\/span><\/p>\n
    h\u03bc\u03bc=0,\u2202\u03bch\u03bc\u03bd=0h^\\mu_\\mu = 0, \\partial^\\mu h_{\\mu\\nu} = 0<\/span>h^\\mu_\\mu = 0, \\partial^\\mu h_{\\mu\\nu} = 0<\/code><\/div>\n

    \uff09\u3092\u8ab2\u3059\u3002<\/span><\/span><\/div>\n<\/li>\n

  • \n
    \u89b3\u6e2c<\/span><\/span><\/span>\uff1aLIGO\u3084Virgo\u306a\u3069\u306e\u5e72\u6e09\u8a08\u3067\u3001\u6642\u7a7a\u306e\u6b6a\u307f\uff08\u3072\u305a\u307f\uff09\u3092\u691c\u51fa\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n
    \u91cd\u529b\u6ce2\u306e\u89e3\u6790\u3067\u306f\u3001<\/span><\/span><\/p>\n
    h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

    \u3084\u95a2\u9023\u3059\u308b\u30d9\u30af\u30c8\u30eb\u5834\uff08\u4f8b\uff1a\u5909\u4f4d\u5834\u3001\u30b2\u30fc\u30b8\u5834\uff09\u3092\u5206\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u3053\u3053\u3067\u30db\u30c3\u30b8\u5206\u89e3\u304c\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/span><\/div>\n

    \n
    2. \u30db\u30c3\u30b8\u5206\u89e3\u306e\u6982\u8981<\/span><\/span><\/div>\n
    \u30db\u30c3\u30b8\u5206\u89e3\u306f\u3001\u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u4e0a\u306e\u5fae\u5206\u5f62\u5f0f\uff08\u307e\u305f\u306f\u30d9\u30af\u30c8\u30eb\u5834\u3001\u30c6\u30f3\u30bd\u30eb\u5834\uff09\u3092\u4ee5\u4e0b\u306e\u6210\u5206\u306b\u5206\u89e3\u3057\u307e\u3059\uff1a <\/span><\/span><\/p>\n
    \u03c9=d\u03b1+\u03b4\u03b2+h,\\omega = d\\alpha + \\delta\\beta + h,<\/span>\\omega = d\\alpha + \\delta\\beta + h,<\/code><\/div>\n<\/div>\n
      \n
    • \n
      \n
      d\u03b1d\\alpha<\/span>d\\alpha<\/code><\/div>\n

      \uff1a\u6b63\u78ba\u5f62\u5f0f\uff08exact, \u52fe\u914d\u6210\u5206\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

    • \n
      \n
      \u03b4\u03b2\\delta\\beta<\/span>\\delta\\beta<\/code><\/div>\n

      \uff1a\u4f59\u6b63\u78ba\u5f62\u5f0f\uff08coexact, \u56de\u8ee2\u6210\u5206\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

    • \n
      (<\/span><\/span>h<\/span><\/span>)<\/span><\/span>\uff1a\u8abf\u548c\u5f62\u5f0f\uff08harmonic, <\/span><\/span><\/p>\n
      \u0394h=0\\Delta h = 0<\/span>\\Delta h = 0<\/code><\/div>\n

      \uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n

      3\u6b21\u5143\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\uff08<\/span><\/span><\/p>\n
      R3\\mathbb{R}^3<\/span>\\mathbb{R}^3<\/code><\/div>\n

      \uff09\u30844\u6b21\u5143\u6642\u7a7a\uff08\u30df\u30f3\u30b3\u30d5\u30b9\u30ad\u30fc\u6642\u7a7a\uff09\u3067\u306f\u3001\u30d9\u30af\u30c8\u30eb\u5834 <\/span><\/span><\/p>\n

      F\\mathbf{F}<\/span>\\mathbf{F}<\/code><\/div>\n

      \u3092\u30d8\u30eb\u30e0\u30db\u30eb\u30c4\u5206\u89e3\u3068\u3057\u3066\uff1a <\/span><\/span><\/p>\n

      F=\u2207\u03d5+\u2207\u00d7A,\\mathbf{F} = \\nabla \\phi + \\nabla \\times \\mathbf{A},<\/span>\\mathbf{F} = \\nabla \\phi + \\nabla \\times \\mathbf{A},<\/code><\/div>\n<\/div>\n
        \n
      • \n
        \n
        \u2207\u03d5\\nabla \\phi<\/span>\\nabla \\phi<\/code><\/div>\n

        \uff1a\u767a\u6563\u6210\u5206\uff08\u56de\u8ee2\u30bc\u30ed\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

      • \n
        \n
        \u2207\u00d7A\\nabla \\times \\mathbf{A}<\/span>\\nabla \\times \\mathbf{A}<\/code><\/div>\n

        \uff1a\u56de\u8ee2\u6210\u5206\uff08\u767a\u6563\u30bc\u30ed\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

      • \n
        \u8abf\u548c\u6210\u5206\u306f\u3001\u7121\u9650\u9060\u3067\u306e\u6e1b\u8870\u6761\u4ef6\u306b\u3088\u308a\u901a\u5e38\u30bc\u30ed\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n
        \u91cd\u529b\u6ce2\u3067\u306f\u3001\u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5 <\/span><\/span><\/p>\n
        h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

        \uff082\u968e\u30c6\u30f3\u30bd\u30eb\u5834\uff09\u3084\u95a2\u9023\u3059\u308b\u30d9\u30af\u30c8\u30eb\u5834\uff08\u4f8b\uff1a\u30b2\u30fc\u30b8\u5909\u63db\u3084\u5909\u4f4d\u5834\uff09\u306b\u30db\u30c3\u30b8\u5206\u89e3\u3092\u9069\u7528\u3057\u3001\u7269\u7406\u7684\u81ea\u7531\u5ea6\uff08\u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u6210\u5206\uff09\u3092\u62bd\u51fa\u3057\u307e\u3059\u3002<\/span><\/span><\/div>\n

        \n
        3. \u91cd\u529b\u6ce2\u3078\u306e\u30db\u30c3\u30b8\u5206\u89e3\u306e\u9069\u7528<\/span><\/span><\/div>\n
        \u91cd\u529b\u6ce2\u306e\u89e3\u6790\u306b\u304a\u3044\u3066\u3001\u30db\u30c3\u30b8\u5206\u89e3\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u9069\u7528\u3055\u308c\u307e\u3059\uff1a<\/span><\/span><\/div>\n
        (1) \u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5\u306e\u81ea\u7531\u5ea6\u5206\u89e3<\/span><\/span><\/div>\n
        \u91cd\u529b\u6ce2\u306e\u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5 <\/span><\/span><\/p>\n
        h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

        \u306f\u30014\u6b21\u5143\u6642\u7a7a\u306e2\u968e\u5bfe\u79f0\u30c6\u30f3\u30bd\u30eb\u3067\u300110\u306e\u72ec\u7acb\u6210\u5206\u3092\u6301\u3061\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u30b2\u30fc\u30b8\u81ea\u7531\u5ea6\uff08\u5ea7\u6a19\u5909\u63db\uff09\u3068\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u65b9\u7a0b\u5f0f\u306e\u5236\u7d04\u306b\u3088\u308a\u3001\u7269\u7406\u7684\u81ea\u7531\u5ea6\u306f2\uff08\u300c\uff0b\u300d\u3068\u300c\u00d7\u300d\u504f\u5149\uff09\u306b\u6e1b\u308a\u307e\u3059\u3002\u30db\u30c3\u30b8\u5206\u89e3\uff08\u307e\u305f\u306f\u30c6\u30f3\u30bd\u30eb\u7248\u306e\u985e\u4f3c\u5206\u89e3\uff09\u306f\u3001\u3053\u306e\u81ea\u7531\u5ea6\u3092\u6574\u7406\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/span><\/div>\n

        \u30c6\u30f3\u30bd\u30eb\u5206\u89e3<\/span><\/span>\uff1a<\/span><\/span><\/div>\n
          \n
        • \n
          \n
          h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

          \u3092\u6b21\u306e\u3088\u3046\u306b\u5206\u89e3\uff1a<\/span><\/span><\/div>\n

            \n
          • \n
            \u30b9\u30ab\u30e9\u30fc\u6210\u5206<\/span><\/span><\/span>\uff1a\u30c8\u30ec\u30fc\u30b9\u90e8\u5206\uff08<\/span><\/span><\/p>\n
            h\u03bc\u03bch^\\mu_\\mu<\/span>h^\\mu_\\mu<\/code><\/div>\n

            \uff09\u3084\u30b9\u30ab\u30e9\u30fc\u5834\u306b\u95a2\u9023\u3059\u308b\u6442\u52d5\u3002<\/span><\/span><\/div>\n<\/li>\n

          • \n
            \u30d9\u30af\u30c8\u30eb\u6210\u5206<\/span><\/span><\/span>\uff1a\u767a\u6563\u30bc\u30ed\u306e\u30d9\u30af\u30c8\u30eb\u5834\uff08\u4f8b\uff1a\u56de\u8ee2\u7684\u6442\u52d5\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n
          • \n
            \u30c6\u30f3\u30bd\u30eb\u6210\u5206<\/span><\/span><\/span>\uff1a\u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\uff08TT: transverse-traceless\uff09\u6210\u5206\uff08\u771f\u306e\u91cd\u529b\u6ce2\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
          • \n
            \u30db\u30c3\u30b8\u5206\u89e3\u306e\u30c6\u30f3\u30bd\u30eb\u7248\uff08\u4f8b\uff1aHodge-Helmholtz\u578b\u5206\u89e3\uff09\u3092\u7528\u3044\u3066\u3001<\/span><\/span><\/p>\n
            h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

            \u3092\uff1a<\/span><\/span><\/div>\n

            h\u03bc\u03bd=h\u03bc\u03bdTT+h\u03bc\u03bdT+h\u03bc\u03bdL,h_{\\mu\\nu} = h_{\\mu\\nu}^{\\text{TT}} + h_{\\mu\\nu}^{\\text{T}} + h_{\\mu\\nu}^{\\text{L}},<\/span>h_{\\mu\\nu} = h_{\\mu\\nu}^{\\text{TT}} + h_{\\mu\\nu}^{\\text{T}} + h_{\\mu\\nu}^{\\text{L}},<\/code><\/div>\n
              \n
            • \n
              \n
              h\u03bc\u03bdTTh_{\\mu\\nu}^{\\text{TT}}<\/span>h_{\\mu\\nu}^{\\text{TT}}<\/code><\/div>\n

              \uff1a\u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u6210\u5206\uff08\u91cd\u529b\u6ce2\u306e\u7269\u7406\u7684\u30e2\u30fc\u30c9\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

            • \n
              \n
              h\u03bc\u03bdTh_{\\mu\\nu}^{\\text{T}}<\/span>h_{\\mu\\nu}^{\\text{T}}<\/code><\/div>\n

              \uff1a\u767a\u6563\u30bc\u30ed\u306e\u30d9\u30af\u30c8\u30eb\u30e2\u30fc\u30c9\uff08\u30b2\u30fc\u30b8\u3084\u975e\u653e\u5c04\u7684\u30e2\u30fc\u30c9\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

            • \n
              \n
              h\u03bc\u03bdLh_{\\mu\\nu}^{\\text{L}}<\/span>h_{\\mu\\nu}^{\\text{L}}<\/code><\/div>\n

              \uff1a\u7e26\u6210\u5206\uff08\u30b9\u30ab\u30e9\u30fc\u5834\u3084\u30b2\u30fc\u30b8\u81ea\u7531\u5ea6\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

              \u30b2\u30fc\u30b8\u6761\u4ef6<\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                \n
              • \n
                \u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u30b2\u30fc\u30b8\uff08<\/span><\/span><\/p>\n
                \u2202\u03bch\u03bc\u03bd=0,h\u03bc\u03bc=0\\partial^\\mu h_{\\mu\\nu} = 0, h^\\mu_\\mu = 0<\/span>\\partial^\\mu h_{\\mu\\nu} = 0, h^\\mu_\\mu = 0<\/code><\/div>\n

                \uff09\u306f\u3001\u30db\u30c3\u30b8\u5206\u89e3\u306e\u300c\u767a\u6563\u30bc\u30ed\u300d\u6761\u4ef6\u306b\u985e\u4f3c\u3002<\/span><\/span><\/div>\n<\/li>\n

              • \n
                \u30db\u30c3\u30b8\u5206\u89e3\u306f\u3001\u30b2\u30fc\u30b8\u5909\u63db\uff08\u4f8b\uff1a<\/span><\/span><\/p>\n
                \u03b4h\u03bc\u03bd=\u2202\u03bc\u03be\u03bd+\u2202\u03bd\u03be\u03bc\\delta h_{\\mu\\nu} = \\partial_\\mu \\xi_\\nu + \\partial_\\nu \\xi_\\mu<\/span>\\delta h_{\\mu\\nu} = \\partial_\\mu \\xi_\\nu + \\partial_\\nu \\xi_\\mu<\/code><\/div>\n

                \uff09\u3092\u30b9\u30ab\u30e9\u30fc\u30fb\u30d9\u30af\u30c8\u30eb\u6210\u5206\u306b\u5206\u96e2\u3057\u3001\u7269\u7406\u7684\u30e2\u30fc\u30c9\u3092\u5206\u96e2\u3059\u308b\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n

                (2) \u5909\u4f4d\u5834\u3084\u30b2\u30fc\u30b8\u5834\u306e\u5206\u89e3<\/span><\/span><\/div>\n
                \u91cd\u529b\u6ce2\u306e\u52b9\u679c\u306f\u3001\u8a66\u9a13\u7c92\u5b50\u306e\u5909\u4f4d\u5834 <\/span><\/span><\/p>\n
                u(x,t)\\mathbf{u}(\\mathbf{x}, t)<\/span>\\mathbf{u}(\\mathbf{x}, t)<\/code><\/div>\n

                \u3084\u30b2\u30fc\u30b8\u5834\uff08\u4f8b\uff1a\u30b2\u30fc\u30b8\u30d9\u30af\u30c8\u30eb <\/span><\/span><\/p>\n

                \u03be\u03bc\\xi^\\mu<\/span>\\xi^\\mu<\/code><\/div>\n

                \uff09\u3068\u3057\u3066\u73fe\u308c\u308b\u3002\u3053\u308c\u3089\u306b\u30db\u30c3\u30b8\u5206\u89e3\u3092\u9069\u7528\uff1a<\/span><\/span><\/div>\n

                  \n
                • \n
                  \u5909\u4f4d\u5834 <\/span><\/span><\/p>\n
                  u\\mathbf{u}<\/span>\\mathbf{u}<\/code><\/div>\n

                  \uff083\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u5834\uff09\u3092\uff1a<\/span><\/span><\/div>\n

                  u=\u2207\u03d5+\u2207\u00d7A,\\mathbf{u} = \\nabla \\phi + \\nabla \\times \\mathbf{A},<\/span>\\mathbf{u} = \\nabla \\phi + \\nabla \\times \\mathbf{A},<\/code><\/div>\n
                    \n
                  • \n
                    \n
                    \u2207\u03d5\\nabla \\phi<\/span>\\nabla \\phi<\/code><\/div>\n

                    \uff1a\u7e26\u6210\u5206\uff08\u5727\u7e2e\u7684\u3001\u305f\u3060\u3057\u91cd\u529b\u6ce2\u3067\u306f\u901a\u5e38\u30bc\u30ed\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

                  • \n
                    \n
                    \u2207\u00d7A\\nabla \\times \\mathbf{A}<\/span>\\nabla \\times \\mathbf{A}<\/code><\/div>\n

                    \uff1a\u6a2a\u6210\u5206\uff08\u91cd\u529b\u6ce2\u306e\u305b\u3093\u65ad\u52b9\u679c\u3001\u504f\u5149\u30e2\u30fc\u30c9\u306b\u5bfe\u5fdc\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n

                  • \n
                    \u30b2\u30fc\u30b8\u30d9\u30af\u30c8\u30eb <\/span><\/span><\/p>\n
                    \u03be\u03bc\\xi^\\mu<\/span>\\xi^\\mu<\/code><\/div>\n

                    \uff084\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u5834\uff09\u3092\uff1a<\/span><\/span><\/div>\n

                      \n
                    • \n
                      \u30b9\u30ab\u30e9\u30fc\u6210\u5206\uff08\u4f8b\uff1a\u6642\u9593\u7684\u30b2\u30fc\u30b8\uff09\u3068\u30d9\u30af\u30c8\u30eb\u6210\u5206\uff08\u7a7a\u9593\u7684\u30b2\u30fc\u30b8\uff09\u306b\u5206\u89e3\u3002<\/span><\/span><\/div>\n<\/li>\n
                    • \n
                      \u30db\u30c3\u30b8\u5206\u89e3\u3067\u3001\u30b2\u30fc\u30b8\u81ea\u7531\u5ea6\u3092\u300c\u767a\u6563\u30bc\u30ed\u300d\u300c\u56de\u8ee2\u30bc\u30ed\u300d\u306b\u6574\u7406\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
                      (3) \u6ce2\u52d5\u65b9\u7a0b\u5f0f\u3068\u306e\u95a2\u4fc2<\/span><\/span><\/div>\n
                      \u91cd\u529b\u6ce2\u306e <\/span><\/span><\/p>\n
                      h\u03bc\u03bdTTh_{\\mu\\nu}^{\\text{TT}}<\/span>h_{\\mu\\nu}^{\\text{TT}}<\/code><\/div>\n

                      \u306f\u3001\u6ce2\u52d5\u65b9\u7a0b\u5f0f <\/span><\/span><\/p>\n

                      \u25a1h\u03bc\u03bd=0\\Box h_{\\mu\\nu} = 0<\/span>\\Box h_{\\mu\\nu} = 0<\/code><\/div>\n

                      \u3092\u6e80\u305f\u3057\u3001\u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u6761\u4ef6\u306b\u3088\u308a\u767a\u6563\u30bc\u30ed\uff08<\/span><\/span><\/p>\n

                      \u2202\u03bch\u03bc\u03bd=0\\partial^\\mu h_{\\mu\\nu} = 0<\/span>\\partial^\\mu h_{\\mu\\nu} = 0<\/code><\/div>\n

                      \uff09\u3002\u3053\u308c\u306f\u3001\u30db\u30c3\u30b8\u5206\u89e3\u306e\u300c\u767a\u6563\u30bc\u30ed\u300d\u6210\u5206\uff08<\/span><\/span><\/p>\n

                      \u2207\u00d7A\\nabla \\times \\mathbf{A}<\/span>\\nabla \\times \\mathbf{A}<\/code><\/div>\n

                      \u306b\u76f8\u5f53\uff09\u306b\u4f3c\u3066\u304a\u308a\u3001\u91cd\u529b\u6ce2\u304c\u7d14\u7c8b\u306a\u56de\u8ee2\u7684\uff08\u6a2a\uff09\u30e2\u30fc\u30c9\u3067\u3042\u308b\u3053\u3068\u3092\u53cd\u6620\u3057\u307e\u3059\u3002<\/span><\/span><\/div>\n

                      \n
                      4. \u5177\u4f53\u4f8b\uff1a\u91cd\u529b\u6ce2\u306e\u504f\u5149\u89e3\u6790<\/span><\/span><\/div>\n
                      \u30b7\u30ca\u30ea\u30aa<\/span><\/span>\uff1aLIGO\u3067\u89b3\u6e2c\u3055\u308c\u305f\u91cd\u529b\u6ce2\u4fe1\u53f7\u3092\u89e3\u6790\u3057\u3001\u504f\u5149\u30e2\u30fc\u30c9\u3092\u62bd\u51fa\u3002<\/span><\/span><\/div>\n
                        \n
                      1. \n
                        \u89b3\u6e2c\u30c7\u30fc\u30bf<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                          \n
                        • \n
                          \u5e72\u6e09\u8a08\u3067\u3072\u305a\u307f <\/span><\/span><\/p>\n
                          h(t)=h+cos\u2061(\u03c9t)+h\u00d7sin\u2061(\u03c9t)h(t) = h_+ \\cos(\\omega t) + h_\\times \\sin(\\omega t)<\/span>h(t) = h_+ \\cos(\\omega t) + h_\\times \\sin(\\omega t)<\/code><\/div>\n

                          \u3092\u6e2c\u5b9a\u3002<\/span><\/span><\/div>\n<\/li>\n

                        • \n
                          \u7a7a\u9593\u7684\u6442\u52d5\u306f <\/span><\/span><\/p>\n
                          hijh_{ij}<\/span>h_{ij}<\/code><\/div>\n

                          \uff083\u00d73\u30c6\u30f3\u30bd\u30eb\u3001<\/span><\/span><\/p>\n

                          i,j=1,2,3i,j = 1,2,3<\/span>i,j = 1,2,3<\/code><\/div>\n

                          \uff09\u3068\u3057\u3066\u30e2\u30c7\u30eb\u5316\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n

                        • \n
                          \u30c6\u30f3\u30bd\u30eb\u5206\u89e3<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                            \n
                          • \n
                            \n
                            hijh_{ij}<\/span>h_{ij}<\/code><\/div>\n

                            \u3092\u30db\u30c3\u30b8\u5206\u89e3\u306e\u30c6\u30f3\u30bd\u30eb\u7248\u3067\u5206\u89e3\uff1a<\/span><\/span><\/div>\n

                              \n
                            • \n
                              \u30c8\u30ec\u30fc\u30b9\u90e8\u5206\uff1a<\/span><\/span><\/p>\n
                              hiih_{ii}<\/span>h_{ii}<\/code><\/div>\n

                              \uff08\u30b9\u30ab\u30e9\u30fc\u3001\u30b9\u30ab\u30e9\u30fc\u6442\u52d5\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

                            • \n
                              \u767a\u6563\u30bc\u30ed\u90e8\u5206\uff1a<\/span><\/span><\/p>\n
                              hijTh_{ij}^{\\text{T}}<\/span>h_{ij}^{\\text{T}}<\/code><\/div>\n

                              \uff08\u30d9\u30af\u30c8\u30eb\u30e2\u30fc\u30c9\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

                            • \n
                              \u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u90e8\u5206\uff1a<\/span><\/span><\/p>\n
                              hijTTh_{ij}^{\\text{TT}}<\/span>h_{ij}^{\\text{TT}}<\/code><\/div>\n

                              \uff08\u91cd\u529b\u6ce2\u306e\u7269\u7406\u7684\u30e2\u30fc\u30c9\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n

                            • \n
                              \u4f8b\uff1a\u5e73\u9762\u6ce2 <\/span><\/span><\/p>\n
                              hij=h+eij++h\u00d7eij\u00d7h_{ij} = h_+ e_{ij}^+ + h_\\times e_{ij}^\\times<\/span>h_{ij} = h_+ e_{ij}^+ + h_\\times e_{ij}^\\times<\/code><\/div>\n

                              \u306f\u3001TT\u6210\u5206\u306e\u307f\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n

                            • \n
                              \u30db\u30c3\u30b8\u5206\u89e3\u306e\u9069\u7528<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                \n
                              • \n
                                \u7a7a\u9593\u7684\u30d9\u30af\u30c8\u30eb\u5834\uff08\u4f8b\uff1a\u8a66\u9a13\u7c92\u5b50\u306e\u5909\u4f4d <\/span><\/span><\/p>\n
                                u\\mathbf{u}<\/span>\\mathbf{u}<\/code><\/div>\n

                                \uff09\u3092 <\/span><\/span><\/p>\n

                                u=\u2207\u03d5+\u2207\u00d7A\\mathbf{u} = \\nabla \\phi + \\nabla \\times \\mathbf{A}<\/span>\\mathbf{u} = \\nabla \\phi + \\nabla \\times \\mathbf{A}<\/code><\/div>\n

                                \u306b\u5206\u89e3\u3002<\/span><\/span><\/div>\n<\/li>\n

                              • \n
                                \u91cd\u529b\u6ce2\u3067\u306f <\/span><\/span><\/p>\n
                                \u2207\u03d5\u22480\\nabla \\phi \\approx 0<\/span>\\nabla \\phi \\approx 0<\/code><\/div>\n

                                \uff08\u7e26\u6ce2\u306a\u3057\uff09\u3001<\/span><\/span><\/p>\n

                                \u2207\u00d7A\\nabla \\times \\mathbf{A}<\/span>\\nabla \\times \\mathbf{A}<\/code><\/div>\n

                                \u304c\u504f\u5149\u30e2\u30fc\u30c9\u306b\u5bfe\u5fdc\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n

                              • \n
                                \u7d50\u679c<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                  \n
                                • \n
                                  \n
                                  hijTTh_{ij}^{\\text{TT}}<\/span>h_{ij}^{\\text{TT}}<\/code><\/div>\n

                                  \u304b\u3089\u300c\uff0b\u300d\u3068\u300c\u00d7\u300d\u504f\u5149\u3092\u62bd\u51fa\u3057\u3001\u6ce2\u306e\u65b9\u5411\u3084\u632f\u5e45\u3092\u7279\u5b9a\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n

                                  \u4f8b\uff1a\u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb\u5408\u4f53<\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                    \n
                                  • \n
                                    \u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb\u5408\u4f53\u3067\u751f\u6210\u3055\u308c\u308b\u91cd\u529b\u6ce2\u306f\u3001\u7279\u5b9a\u306e\u591a\u6975\u30e2\u30fc\u30c9\uff08\u4f8b\uff1a\u56db\u6975\u653e\u5c04\uff09\u3092\u6301\u3064\u3002<\/span><\/span><\/div>\n<\/li>\n
                                  • \n
                                    \u30db\u30c3\u30b8\u5206\u89e3\u3067\u3001<\/span><\/span><\/p>\n
                                    hijh_{ij}<\/span>h_{ij}<\/code><\/div>\n

                                    \u306eTT\u6210\u5206\u3092\u62bd\u51fa\u3057\u3001\u30b9\u30d4\u30f32\u306e\u30c6\u30f3\u30bd\u30eb\u5834\u3068\u3057\u3066\u30e2\u30c7\u30eb\u5316\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n

                                    \n
                                    5. \u5fdc\u7528\u4f8b<\/span><\/span><\/div>\n
                                    \u30db\u30c3\u30b8\u5206\u89e3\u306f\u3001\u91cd\u529b\u6ce2\u306e\u7814\u7a76\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5fdc\u7528\u3055\u308c\u307e\u3059\uff1a<\/span><\/span><\/div>\n
                                      \n
                                    1. \n
                                      \u4fe1\u53f7\u51e6\u7406\u3068\u30c7\u30fc\u30bf\u89e3\u6790<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                        \n
                                      • \n
                                        LIGO\/Virgo\u306e\u89b3\u6e2c\u30c7\u30fc\u30bf\u304b\u3089\u3001\u91cd\u529b\u6ce2\u4fe1\u53f7\u3092\u30ce\u30a4\u30ba\u3084\u975e\u7269\u7406\u7684\u6210\u5206\uff08\u4f8b\uff1a\u30b2\u30fc\u30b8\u52b9\u679c\uff09\u304b\u3089\u5206\u96e2\u3002<\/span><\/span><\/div>\n<\/li>\n
                                      • \n
                                        \u30db\u30c3\u30b8\u5206\u89e3\u3067\u3001\u3072\u305a\u307f\u5834\u3092\u6a2a\u30c8\u30ec\u30fc\u30b9\u30ec\u30b9\u6210\u5206\uff08\u91cd\u529b\u6ce2\uff09\u3068\u7e26\u6210\u5206\uff08\u30ce\u30a4\u30ba\u3084\u30b9\u30ab\u30e9\u30fc\u5834\uff09\u306b\u5206\u89e3\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
                                      • \n
                                        \u91cd\u529b\u6ce2\u306e\u504f\u5149\u89e3\u6790<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                          \n
                                        • \n
                                          \u91cd\u529b\u6ce2\u306e2\u3064\u306e\u504f\u5149\u30e2\u30fc\u30c9\uff08\u300c\uff0b\u300d\u300c\u00d7\u300d\uff09\u3092\u3001\u30c6\u30f3\u30bd\u30eb\u5834\u306eTT\u6210\u5206\u3068\u3057\u3066\u7279\u5b9a\u3002<\/span><\/span><\/div>\n<\/li>\n
                                        • \n
                                          \u30db\u30c3\u30b8\u5206\u89e3\u3067\u3001\u89b3\u6e2c\u30c7\u30fc\u30bf\u306e\u56de\u8ee2\u7684\u6210\u5206\u3092\u5f37\u8abf\u3057\u3001\u504f\u5149\u30d1\u30bf\u30fc\u30f3\u3092\u62bd\u51fa\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
                                        • \n
                                          \u6570\u5024\u76f8\u5bfe\u8ad6<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                            \n
                                          • \n
                                            \u30d6\u30e9\u30c3\u30af\u30db\u30fc\u30eb\u5408\u4f53\u3084\u4e2d\u6027\u5b50\u661f\u5408\u4f53\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u3001\u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5 <\/span><\/span><\/p>\n
                                            h\u03bc\u03bdh_{\\mu\\nu}<\/span>h_{\\mu\\nu}<\/code><\/div>\n

                                            \u3092\u5206\u89e3\u3002<\/span><\/span><\/div>\n<\/li>\n

                                          • \n
                                            \u4f8b\uff1a\u30db\u30c3\u30b8\u5206\u89e3\u3092\u7528\u3044\u3066\u3001\u7269\u7406\u7684\u30e2\u30fc\u30c9\uff08TT\uff09\u3068\u30b2\u30fc\u30b8\u81ea\u7531\u5ea6\u3092\u5206\u96e2\u3057\u3001\u8a08\u7b97\u52b9\u7387\u3092\u5411\u4e0a\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
                                          • \n
                                            \u9ad8\u6b21\u5143\u91cd\u529b\u7406\u8ad6<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                              \n
                                            • \n
                                              5\u6b21\u5143\u4ee5\u4e0a\uff08\u4f8b\uff1aAdS\/CFT\u5bfe\u5fdc\u3084\u30d6\u30ec\u30fc\u30f3\u30ef\u30fc\u30eb\u30c9\uff09\u3067\u306e\u91cd\u529b\u6ce2\u89e3\u6790\u3002<\/span><\/span><\/div>\n<\/li>\n
                                            • \n
                                              \u30db\u30c3\u30b8\u5206\u89e3\u3092\u9ad8\u6b21\u5143\u30c6\u30f3\u30bd\u30eb\u5834\u306b\u62e1\u5f35\u3057\u3001\u30b9\u30ab\u30e9\u30fc\u30fb\u30d9\u30af\u30c8\u30eb\u30fb\u30c6\u30f3\u30bd\u30eb\u30e2\u30fc\u30c9\u3092\u5206\u96e2\u3002<\/span><\/span><\/div>\n<\/li>\n
                                            • \n
                                              \u4f8b\uff1a\u30ab\u30e9\u30d3-\u30e4\u30a6\u591a\u69d8\u4f53\u4e0a\u306e\u91cd\u529b\u6ce2\uff08\u5f26\u7406\u8ad6\uff09\u3067\u3001\u8abf\u548c\u5f62\u5f0f\u304c\u30bc\u30ed\u30e2\u30fc\u30c9\u3092\u8a18\u8ff0\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
                                            • \n
                                              \u5b87\u5b99\u8ad6\u7684\u80cc\u666f<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                                \n
                                              • \n
                                                \u539f\u59cb\u91cd\u529b\u6ce2\uff08\u30a4\u30f3\u30d5\u30ec\u30fc\u30b7\u30e7\u30f3\u671f\u306b\u751f\u6210\uff09\u3092\u3001\u5b87\u5b99\u80cc\u666f\u653e\u5c04\uff08CMB\uff09\u306e\u6442\u52d5\u3068\u3057\u3066\u89e3\u6790\u3002<\/span><\/span><\/div>\n<\/li>\n
                                              • \n
                                                \u30db\u30c3\u30b8\u5206\u89e3\u3067\u3001CMB\u306e\u30d9\u30af\u30c8\u30eb\u5834\uff08\u4f8b\uff1a\u504f\u5149\u30d1\u30bf\u30fc\u30f3\uff09\u3092\u30b9\u30ab\u30e9\u30fc\uff08\u5bc6\u5ea6\u63fa\u3089\u304e\uff09\u3001\u30d9\u30af\u30c8\u30eb\uff08\u6e26\uff09\u3001\u30c6\u30f3\u30bd\u30eb\uff08\u91cd\u529b\u6ce2\uff09\u306b\u5206\u89e3\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n
                                                \n
                                                6. \u6570\u5b66\u7684\u8a73\u7d30<\/span><\/span><\/div>\n
                                                \u91cd\u529b\u6ce2\u306b\u30db\u30c3\u30b8\u5206\u89e3\u3092\u9069\u7528\u3059\u308b\u969b\u306e\u8a08\u7b97\u624b\u9806\uff1a<\/span><\/span><\/div>\n
                                                  \n
                                                1. \n
                                                  \u30e1\u30c8\u30ea\u30c3\u30af\u6442\u52d5\u306e\u5206\u89e3<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                                    \n
                                                  • \n
                                                    \n
                                                    hijh_{ij}<\/span>h_{ij}<\/code><\/div>\n

                                                    \uff08\u7a7a\u9593\u6210\u5206\uff09\u3092\uff1a<\/span><\/span><\/div>\n

                                                    hij=hijTT+hijT+hijL+\u03b4ijh,h_{ij} = h_{ij}^{\\text{TT}} + h_{ij}^{\\text{T}} + h_{ij}^{\\text{L}} + \\delta_{ij} h,<\/span>h_{ij} = h_{ij}^{\\text{TT}} + h_{ij}^{\\text{T}} + h_{ij}^{\\text{L}} + \\delta_{ij} h,<\/code><\/div>\n
                                                      \n
                                                    • \n
                                                      \n
                                                      hijTTh_{ij}^{\\text{TT}}<\/span>h_{ij}^{\\text{TT}}<\/code><\/div>\n

                                                      \uff1a<\/span><\/span>\\partial^i h_{ij}^{\\text{TT}} = 0, h^{i}_{i}^{\\text{TT}} = 0<\/span>.<\/span><\/span><\/div>\n<\/li>\n

                                                    • \n
                                                      \n
                                                      hijTh_{ij}^{\\text{T}}<\/span>h_{ij}^{\\text{T}}<\/code><\/div>\n

                                                      \uff1a\u767a\u6563\u30bc\u30ed\u3001\u30c8\u30ec\u30fc\u30b9\u975e\u30bc\u30ed\u3002<\/span><\/span><\/div>\n<\/li>\n

                                                    • \n
                                                      \n
                                                      hijLh_{ij}^{\\text{L}}<\/span>h_{ij}^{\\text{L}}<\/code><\/div>\n

                                                      \uff1a\u7e26\u6210\u5206\uff08\u30b2\u30fc\u30b8\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n

                                                    • \n
                                                      (<\/span><\/span>h<\/span><\/span>)<\/span><\/span>\uff1a\u30c8\u30ec\u30fc\u30b9\uff08\u30b9\u30ab\u30e9\u30fc\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
                                                    • \n
                                                      \u6295\u5f71\u6f14\u7b97\u5b50\u3092\u7528\u3044\u3066TT\u6210\u5206\u3092\u62bd\u51fa\uff1a<\/span><\/span><\/div>\n
                                                      hijTT=PikPjlhkl\u221212PijPklhkl,Pij=\u03b4ij\u2212\u2202i\u2202j\u0394.h_{ij}^{\\text{TT}} = P_{ik} P_{jl} h_{kl} – \\frac{1}{2} P_{ij} P_{kl} h_{kl}, \\quad P_{ij} = \\delta_{ij} – \\frac{\\partial_i \\partial_j}{\\Delta}.<\/span>h_{ij}^{\\text{TT}} = P_{ik} P_{jl} h_{kl} - \\frac{1}{2} P_{ij} P_{kl} h_{kl}, \\quad P_{ij} = \\delta_{ij} - \\frac{\\partial_i \\partial_j}{\\Delta}.<\/code><\/div>\n<\/li>\n<\/ul>\n<\/li>\n
                                                    • \n
                                                      \u5909\u4f4d\u5834\u306e\u5206\u89e3<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n
                                                        \n
                                                      • \n
                                                        \u8a66\u9a13\u7c92\u5b50\u306e\u5909\u4f4d <\/span><\/span><\/p>\n
                                                        u\\mathbf{u}<\/span>\\mathbf{u}<\/code><\/div>\n

                                                        \u3092 <\/span><\/span><\/p>\n

                                                        u=\u2207\u03d5+\u2207\u00d7A\\mathbf{u} = \\nabla \\phi + \\nabla \\times \\mathbf{A}<\/span>\\mathbf{u} = \\nabla \\phi + \\nabla \\times \\mathbf{A}<\/code><\/div>\n

                                                        \u306b\u5206\u89e3\u3002<\/span><\/span><\/div>\n<\/li>\n

                                                      • \n
                                                        \u91cd\u529b\u6ce2\u3067\u306f\u3001<\/span><\/span><\/p>\n
                                                        \u2207\u00d7A\\nabla \\times \\mathbf{A}<\/span>\\nabla \\times \\mathbf{A}<\/code><\/div>\n

                                                        \u304c\u652f\u914d\u7684\uff08\u6a2a\u6ce2\uff09\u3002<\/span><\/span><\/div>\n<\/li>\n<\/ul>\n<\/li>\n

                                                      • \n
                                                        \u6ce2\u52d5\u65b9\u7a0b\u5f0f<\/span><\/span><\/span>\uff1a<\/span><\/span><\/div>\n