{"id":71,"date":"2022-01-04T17:02:25","date_gmt":"2022-01-04T08:02:25","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=71"},"modified":"2024-12-16T11:32:25","modified_gmt":"2024-12-16T02:32:25","slug":"%e3%83%ad%e3%83%bc%e3%83%ac%e3%83%b3%e3%83%84%e5%a4%89%e6%8f%9b%e3%81%ab%e3%82%88%e3%82%89%e3%81%aa%e3%81%84%e7%9b%b8%e5%af%be%e8%ab%96%e3%81%ae%e7%90%86%e8%a7%a3","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%83%ad%e3%83%bc%e3%83%ac%e3%83%b3%e3%83%84%e5%a4%89%e6%8f%9b%e3%81%ab%e3%82%88%e3%82%89%e3%81%aa%e3%81%84%e7%9b%b8%e5%af%be%e8%ab%96%e3%81%ae%e7%90%86%e8%a7%a3\/","title":{"rendered":"\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u306b\u3088\u3089\u306a\u3044\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306e\u7d71\u4e00\u7684\u7406\u89e3"},"content":{"rendered":"

\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9045\u308c<\/strong><\/span>\uff0c\u904b\u52d5\u3059\u308b\u7269\u4f53\u306e\u30ed\u30fc\u30ec\u30f3\u30c4\u53ce\u7e2e<\/strong><\/span>\uff0c\u305d\u3057\u3066\u5149\u6e90\u3068\u89b3\u6e2c\u8005\u306e\u76f8\u5bfe\u901f\u5ea6\u306b\u3088\u3063\u3066\u751f\u3058\u308b\u5149\u306e\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c<\/strong><\/span>\u3084\u5149\u884c\u5dee<\/strong><\/span>\u3068\u3044\u3063\u305f\u73fe\u8c61\u306f\uff0c\u901a\u5e38\u306f\u57fa\u6e96\u3068\u306a\u308b\uff08\u9759\u6b62\uff09\u6163\u6027\u7cfb\u304b\u3089\u5225\u306e\uff08\u904b\u52d5\u3059\u308b\uff09\u6163\u6027\u7cfb\u3078\u306e\u5ea7\u6a19\u5909\u63db\u3067\u3042\u308b\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db<\/strong><\/span>\u3092\u4f7f\u3063\u3066\u8aac\u660e\u3055\u308c\u308b\u3002<\/p>\n

\u3053\u306e\u305f\u3081\uff0c\u305f\u3068\u3048\u3070\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9045\u308c\u306b\u5bfe\u3057\u3066<\/p>\n

\u300c\u5ea7\u6a19\u7cfb\u304c\u304b\u308f\u308c\u3070\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u304b\u308f\u308b<\/strong><\/span>\u300d<\/p>\n

\u306a\u3069\u3068\u8868\u73fe\u3055\u308c\u305f\u308a\u3059\u308b\u304c\uff0c\u3053\u308c\u306f\u751a\u3060\u8aa4\u89e3\u3092\u307e\u306d\u304d\u3084\u3059\u3044\u4e0d\u9069\u5207\u306a\u8868\u73fe<\/strong><\/span>\u3067\u3042\u308b\u3002<\/p>\n

\u3053\u306e\u73fe\u8c61\u306f\uff0c\u57fa\u6e96\u3068\u306a\u308b\u89b3\u6e2c\u8005\u304c\u6240\u6301\u3059\u308b\u6642\u8a08\u304c\u523b\u3080\u6642\u9593\u3068\uff0c\u305d\u306e\u57fa\u6e96\u89b3\u6e2c\u8005\u306b\u5bfe\u3057\u3066\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u304c\u6240\u6301\u3059\u308b\u6642\u8a08\u306e\u523b\u3080\u6642\u9593\u306e\u9055\u3044\u3092\u307f\u3066\u3044\u308b\u306e\u3060\u304b\u3089\uff0c<\/p>\n

\u300c\u89b3\u6e2c\u8005\uff08\u306e\u904b\u52d5\u72b6\u614b\uff09\u304c\u7570\u306a\u308c\u3070\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u7570\u306a\u308b<\/strong><\/span>\u300d<\/p>\n

\u3068\u3044\u3046\u8868\u73fe\u304c\u672c\u8cea\u3067\u3042\u308b\u3002<\/p>\n

\u3044\u3063\u305d\u306e\u3053\u3068\uff0c\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db<\/strong><\/span>\u3068\u3044\u3046\u5ea7\u6a19\u5909\u63db\u3092\u4f7f\u308f\u305a\u306b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u8af8\u73fe\u8c61\u3092\u8aac\u660e\u3067\u304d\u308c\u3070\uff0c\u300c\u5ea7\u6a19\u7cfb\u304c\u304b\u308f\u308c\u3070\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u304b\u308f\u308b<\/strong><\/span>\u300d\u306a\u3069\u3068\u3044\u3046\u4e0d\u9069\u5207\u306a\u8868\u73fe\u3082\u5fc5\u8981\u306a\u304f\u306a\u308b\u3002<\/p>\n

\u307e\u305f\uff0c\u6642\u9593\u306e\u9032\u307f\u65b9\u306e\u9055\u3044\u306f\uff0c\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306b\u5bfe\u3057\u3066\u8d77\u3053\u308b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3060\u3051\u3067\u306f\u306a\u3044\u3002\u300c\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3068\u5730\u4e0a\u306e\u6642\u9593\u306e\u9032\u307f\u65b9\u306e\u9055\u3044<\/strong><\/span>\u300d\u306e\u3088\u3046\u306b\uff0c\u904b\u52d5\u3067\u306f\u306a\u304f\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u9055\u3044\u306b\u3088\u308b\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3084\uff0cGPS\u885b\u661f\u306b\u642d\u8f09\u3055\u308c\u305f\u6642\u8a08\u306e\u554f\u984c\u306e\u3088\u3046\u306b\uff0c\u904b\u52d5\u306b\u3088\u308b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3068\u91cd\u529b\u306b\u3088\u308b\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u304c\u3068\u3082\u306b\u3042\u3089\u308f\u308c\u308b\u5834\u5408\u3082\u3042\u308b\u3002<\/p>\n

\u4e00\u65b9\u3067\uff0c\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db<\/strong><\/span>\u304c\u4f7f\u3048\u308b\u306e\u306f\uff0c\u91cd\u529b\u304c\u95a2\u4e0e\u3057\u306a\u3044\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u72b6\u6cc1\u306e\u307f\u3067\u3042\u308b\u3002\u3067\u3042\u308c\u3070\uff0cGPS \u885b\u661f\u306e\u6642\u8a08\u306e\u554f\u984c\u306e\u3088\u3046\u306a\uff0c\u7279\u6b8a\u304a\u3088\u3073\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u306e\u7d71\u4e00\u7684\u7406\u89e3\u306e\u305f\u3081\u306b\u306f\uff0c\u307e\u305a\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306b\u304a\u3044\u3066<\/p>\n

\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u3092\u4f7f\u308f\u305a\u306b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u308b\u306e\u304b\uff1f<\/strong><\/span><\/p>\n

\u3068\u3044\u3046\u554f\u3044\u306f\uff0c\u304d\u308f\u3081\u3066\u6709\u610f\u7fa9\u3067\u3042\u308b\u3068\u8003\u3048\u308b\u3002\u305d\u3057\u3066\u79c1\u306f\uff0c\u3053\u306e\u554f\u3044\u306b\u5bfe\u3057\u3066<\/p>\n

\u3067\u304d\u307e\u3059\u3088\uff01<\/strong><\/span><\/p>\n

\u3068\u7b54\u3048\u3066\u307f\u3088\u3046\u3002<\/p>\n

\u8868\u8a18\u306b\u3064\u3044\u3066<\/h3>\n
    \n
  • 4\u5143\u30d9\u30af\u30c8\u30eb<\/strong><\/span>\u306f\u592a\u5b57\u3067 \\(\\boldsymbol{u}, \\boldsymbol{k}\\) \u306a\u3069\u3068\u66f8\u304f\u3002<\/li>\n
  • 4\u5143\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206<\/strong><\/span>\u306f \\(u^{\\mu} = (u^0, u^1, u^2, u^3)\\) \u306a\u3069\u306e\u3088\u3046\u306b\u66f8\u304f\u3002<\/li>\n
  • 4\u5143\u30d9\u30af\u30c8\u30eb\u3092\u6210\u5206 <\/strong><\/span>\\(u^{\\mu}\\) \u3068\u57fa\u672c\u30d9\u30af\u30c8\u30eb\uff08\u57fa\u5e95\uff09<\/strong><\/span>\\(\\boldsymbol{e}_{\\mu} \\)\u3067\u8868\u3059\u3068\uff0c \\(\\boldsymbol{u} =u^{\\mu} \\,\\boldsymbol{e}_{\\mu}\\)<\/li>\n
  • \u30ae\u30ea\u30b7\u30e3\u6587\u5b57 \\(\\lambda, \\mu, \\nu, \\dots\\) \u306f \\(0\\) \u304b\u3089 \\(3\\)\u3002<\/li>\n
  • 2\u3064\u306e4\u5143\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d<\/strong><\/span>\u306f \\(\\cdot\\) \u8a18\u53f7\u3067\u3042\u3089\u308f\u3059\u3002
    \n\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u5185\u7a4d\u304c\u8a08\u91cf\u30c6\u30f3\u30bd\u30eb<\/strong><\/span>\u306e\u6210\u5206 \\(\\eta_{\\mu\\nu}\\) \uff08\u4e00\u822c\u76f8\u5bfe\u8ad6\u306e\u5834\u5408\u306f \\(g_{\\mu\\nu}\\)\uff09\u3068\u306a\u308b\u3002
    \n\\begin{eqnarray}
    \n\\boldsymbol{u}\\cdot\\boldsymbol{k} &=& \\left( u^{\\mu}\\, \\boldsymbol{e}_{\\mu} \\right) \\cdot\\left( k^{\\nu}\\, \\boldsymbol{e}_{\\nu} \\right) \\\\
    \n&=& \\boldsymbol{e}_{\\mu}\\cdot \\boldsymbol{e}_{\\nu}\\, u^{\\mu}\\, k^{\\nu} \\\\
    \n&=& \\eta_{\\mu\\nu}\\, u^{\\mu} k^{\\nu} \\quad\\mbox{\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306e\u5834\u5408}\\\\
    \n(&=& g_{\\mu\\nu}\\, u^{\\mu} k^{\\nu} \\quad\\mbox{\u4e00\u822c\u76f8\u5bfe\u8ad6\u306e\u5834\u5408})
    \n\\end{eqnarray}<\/li>\n
  • \u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u306e\u898f\u7d04<\/strong><\/span>\u306b\u3088\u308a\uff0c\u4e0a\u6dfb\u5b57\u3068\u4e0b\u6dfb\u5b57\u306b\u540c\u3058\u30ae\u30ea\u30b7\u30a2\u6587\u5b57\u304c\u3042\u3063\u305f\u3089\uff0c\u305f\u3068\u3048 \\(\\displaystyle \\sum\\) \u304c\u306a\u304f\u3066\u3082\u81ea\u52d5\u7684\u306b \\(0\\) \u304b\u3089 \\(3\\) \u307e\u3067\u306e\u548c\u3092\u53d6\u308b\u3002<\/li>\n
  • \u7279\u306b\u65ad\u308a\u306a\u304f\uff0c\u3057\u3070\u3057\u3070\u5149\u901f \\(c\\) \u306b\u3064\u3044\u3066 \\(c = 1\\) \u3068\u3059\u308b\u3002<\/li>\n<\/ul>\n

     <\/p>\n

    \u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u69cb\u6210<\/h2>\n","protected":false},"excerpt":{"rendered":"

    \u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9045\u308c\uff0c\u904b\u52d5\u3059\u308b\u7269\u4f53\u306e\u30ed\u30fc\u30ec\u30f3\u30c4\u53ce\u7e2e\uff0c\u305d\u3057\u3066\u5149\u6e90\u3068\u89b3\u6e2c\u8005\u306e\u76f8\u5bfe\u901f\u5ea6\u306b\u3088\u3063\u3066\u751f\u3058\u308b\u5149\u306e\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u3084\u5149\u884c\u5dee\u3068\u3044\u3063\u305f\u73fe\u8c61\u306f\uff0c\u901a\u5e38\u306f\u57fa\u6e96\u3068\u306a\u308b\uff08\u9759\u6b62\uff09\u6163\u6027\u7cfb\u304b\u3089\u5225\u306e\uff08\u904b\u52d5\u3059\u308b\uff09\u6163\u6027\u7cfb\u3078\u306e\u5ea7\u6a19\u5909\u63db\u3067\u3042\u308b\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u3092\u4f7f\u3063\u3066\u8aac\u660e\u3055\u308c\u308b\u3002<\/p>\n

    \u3053\u306e\u305f\u3081\uff0c\u305f\u3068\u3048\u3070\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9045\u308c\u306b\u5bfe\u3057\u3066<\/p>\n

    \u300c\u5ea7\u6a19\u7cfb\u304c\u304b\u308f\u308c\u3070\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u304b\u308f\u308b\u300d<\/p>\n

    \u306a\u3069\u3068\u8868\u73fe\u3055\u308c\u305f\u308a\u3059\u308b\u304c\uff0c\u3053\u308c\u306f\u751a\u3060\u8aa4\u89e3\u3092\u307e\u306d\u304d\u3084\u3059\u3044\u4e0d\u9069\u5207\u306a\u8868\u73fe\u3067\u3042\u308b\u3002<\/p>\n

    \u3053\u306e\u73fe\u8c61\u306f\uff0c\u57fa\u6e96\u3068\u306a\u308b\u89b3\u6e2c\u8005\u304c\u6240\u6301\u3059\u308b\u6642\u8a08\u304c\u523b\u3080\u6642\u9593\u3068\uff0c\u305d\u306e\u57fa\u6e96\u89b3\u6e2c\u8005\u306b\u5bfe\u3057\u3066\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u304c\u6240\u6301\u3059\u308b\u6642\u8a08\u306e\u523b\u3080\u6642\u9593\u306e\u9055\u3044\u3092\u307f\u3066\u3044\u308b\u306e\u3060\u304b\u3089\uff0c<\/p>\n

    \u300c\u89b3\u6e2c\u8005\uff08\u306e\u904b\u52d5\u72b6\u614b\uff09\u304c\u7570\u306a\u308c\u3070\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u7570\u306a\u308b\u300d<\/p>\n

    \u3068\u3044\u3046\u8868\u73fe\u304c\u672c\u8cea\u3067\u3042\u308b\u3002<\/p>\n

    \u3044\u3063\u305d\u306e\u3053\u3068\uff0c\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u3068\u3044\u3046\u5ea7\u6a19\u5909\u63db\u3092\u4f7f\u308f\u305a\u306b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u8af8\u73fe\u8c61\u3092\u8aac\u660e\u3067\u304d\u308c\u3070\uff0c\u300c\u5ea7\u6a19\u7cfb\u304c\u304b\u308f\u308c\u3070\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u304b\u308f\u308b\u300d\u306a\u3069\u3068\u3044\u3046\u4e0d\u9069\u5207\u306a\u8868\u73fe\u3082\u5fc5\u8981\u306a\u304f\u306a\u308b\u3002<\/p>\n

    \u307e\u305f\uff0c\u6642\u9593\u306e\u9032\u307f\u65b9\u306e\u9055\u3044\u306f\uff0c\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306b\u5bfe\u3057\u3066\u8d77\u3053\u308b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3060\u3051\u3067\u306f\u306a\u3044\u3002\u300c\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3068\u5730\u4e0a\u306e\u6642\u9593\u306e\u9032\u307f\u65b9\u306e\u9055\u3044\u300d\u306e\u3088\u3046\u306b\uff0c\u904b\u52d5\u3067\u306f\u306a\u304f\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u9055\u3044\u306b\u3088\u308b\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3084\uff0cGPS\u885b\u661f\u306b\u642d\u8f09\u3055\u308c\u305f\u6642\u8a08\u306e\u554f\u984c\u306e\u3088\u3046\u306b\uff0c\u904b\u52d5\u306b\u3088\u308b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3068\u91cd\u529b\u306b\u3088\u308b\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u304c\u3068\u3082\u306b\u3042\u3089\u308f\u308c\u308b\u5834\u5408\u3082\u3042\u308b\u3002<\/p>\n

    \u4e00\u65b9\u3067\uff0c\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u304c\u4f7f\u3048\u308b\u306e\u306f\uff0c\u91cd\u529b\u304c\u95a2\u4e0e\u3057\u306a\u3044\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u72b6\u6cc1\u306e\u307f\u3067\u3042\u308b\u3002\u3067\u3042\u308c\u3070\uff0cGPS \u885b\u661f\u306e\u6642\u8a08\u306e\u554f\u984c\u306e\u3088\u3046\u306a\uff0c\u7279\u6b8a\u304a\u3088\u3073\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u306e\u7d71\u4e00\u7684\u7406\u89e3\u306e\u305f\u3081\u306b\u306f\uff0c\u307e\u305a\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306b\u304a\u3044\u3066<\/p>\n

    \u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u3092\u4f7f\u308f\u305a\u306b\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u308b\u306e\u304b\uff1f<\/p>\n

    \u3068\u3044\u3046\u554f\u3044\u306f\uff0c\u304d\u308f\u3081\u3066\u6709\u610f\u7fa9\u3067\u3042\u308b\u3068\u8003\u3048\u308b\u3002\u305d\u3057\u3066\u79c1\u306f\uff0c\u3053\u306e\u554f\u3044\u306b\u5bfe\u3057\u3066<\/p>\n

    \u3067\u304d\u307e\u3059\u3088\uff01<\/p>\n

    \u3068\u7b54\u3048\u3066\u307f\u3088\u3046\u3002<\/p>\n

    \u8868\u8a18\u306b\u3064\u3044\u3066 <\/p>\n

      \n
    • 4\u5143\u30d9\u30af\u30c8\u30eb\u306f\u592a\u5b57\u3067 \\(\\boldsymbol{u}, \\boldsymbol{k}\\) \u306a\u3069\u3068\u66f8\u304f\u3002<\/li>\n
    • 4\u5143\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306f \\(u^{\\mu} = (u^0, u^1, u^2, u^3)\\) \u306a\u3069\u306e\u3088\u3046\u306b\u66f8\u304f\u3002<\/li>\n
    • 4\u5143\u30d9\u30af\u30c8\u30eb\u3092\u6210\u5206 \\(u^{\\mu}\\) \u3068\u57fa\u672c\u30d9\u30af\u30c8\u30eb\uff08\u57fa\u5e95\uff09\\(\\boldsymbol{e}_{\\mu} \\)\u3067\u8868\u3059\u3068\uff0c \\(\\boldsymbol{u} =u^{\\mu} \\,\\boldsymbol{e}_{\\mu}\\)<\/li>\n
    • \u30ae\u30ea\u30b7\u30e3\u6587\u5b57 \\(\\lambda, \\mu, \\nu, \\dots\\) \u306f \\(0\\) \u304b\u3089 \\(3\\)\u3002<\/li>\n
    • 2\u3064\u306e4\u5143\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u306f \\(\\cdot\\) \u8a18\u53f7\u3067\u3042\u3089\u308f\u3059\u3002 \u57fa\u672c\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u5185\u7a4d\u304c\u8a08\u91cf\u30c6\u30f3\u30bd\u30eb\u306e\u6210\u5206 \\(\\eta_{\\mu\\nu}\\) \uff08\u4e00\u822c\u76f8\u5bfe\u8ad6\u306e\u5834\u5408\u306f \\(g_{\\mu\\nu}\\)\uff09\u3068\u306a\u308b\u3002 \\begin{eqnarray} \\boldsymbol{u}\\cdot\\boldsymbol{k} &=& \\left( u^{\\mu}\\, \\boldsymbol{e}_{\\mu} \\right) \\cdot\\left( k^{\\nu}\\, \\boldsymbol{e}_{\\nu} \\right) \\\\ &=& \\boldsymbol{e}_{\\mu}\\cdot \\boldsymbol{e}_{\\nu}\\, u^{\\mu}\\, k^{\\nu} \\\\ &=& \\eta_{\\mu\\nu}\\, u^{\\mu} k^{\\nu} \\quad\\mbox{\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306e\u5834\u5408}\\\\ (&=& g_{\\mu\\nu}\\, u^{\\mu} k^{\\nu} \\quad\\mbox{\u4e00\u822c\u76f8\u5bfe\u8ad6\u306e\u5834\u5408}) \\end{eqnarray}<\/li>\n
    • \u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u306e\u898f\u7d04\u306b\u3088\u308a\uff0c\u4e0a\u6dfb\u5b57\u3068\u4e0b\u6dfb\u5b57\u306b\u540c\u3058\u30ae\u30ea\u30b7\u30a2\u6587\u5b57\u304c\u3042\u3063\u305f\u3089\uff0c\u305f\u3068\u3048 \\(\\displaystyle \\sum\\) \u304c\u306a\u304f\u3066\u3082\u81ea\u52d5\u7684\u306b \\(0\\) \u304b\u3089 \\(3\\) \u307e\u3067\u306e\u548c\u3092\u53d6\u308b\u3002<\/li>\n
    • \u7279\u306b\u65ad\u308a\u306a\u304f\uff0c\u3057\u3070\u3057\u3070\u5149\u901f \\(c\\) \u306b\u3064\u3044\u3066 \\(c = 1\\) \u3068\u3059\u308b\u3002<\/li>\n<\/ul>\n

       <\/p>\n

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