<\/p>\n
\u671d\u6c38\u541b\u3078\u306e\u79c1\u4fe1\u3002<\/p>\n
\u300c\u5f7c\u300d\u306e\u30b3\u30e1\u30f3\u30c8\u306e\u8981\u70b9\u306f\u3056\u3063\u30683\u3064\u3002<\/p>\n
1\u3064\u3081\u306f\uff0c$\\Sigma_t$ \u306e\u5b9a\u7fa9\u306e\u8aac\u660e\u304c\u306a\u3044\uff0c\u3068\u3044\u3046\u30af\u30ec\u30fc\u30e0\u3002<\/p>\n
\u3053\u308c\u306f\u307e\u3063\u305f\u304f\u8a00\u3044\u304c\u304b\u308a\u3068\u3057\u304b\u601d\u3048\u306a\u3044\u3002\u65e2\u306b\u30e1\u30c8\u30ea\u30c3\u30af\u306f Sec. 2 \u306e (2), (6)~(9) \u5f0f\u3067\u4e0e\u3048\u3089\u308c\u3066\u3044\u3066\uff0cSec. 3 \u306e (39) \u5f0f\u306e\u524d\u306b $t = \\mbox{const.} $ hypersurface \u3068\u8a00\u3063\u3066\u3044\u308b\u306e\u3060\u304b\u3089\uff0c$\\Sigma_t$ \u306f normal vector field<\/p>\n
$$n^{\\mu} = \\left( 1 – A, \\frac{1}{a^2} \\delta^{ij} B_{, j}\\right)$$<\/p>\n
\u3067 specify \u3055\u308c\u308b\u8d85\u66f2\u9762\u3067\u3042\u308b\u3053\u3068\u306f\u660e\u3089\u304b\u3002\u3053\u306e $\\Sigma_t$ \u4e0a\u306e\u6709\u9650\u3067\u5c0f\u3055\u3044\u9818\u57df\u3092 $D$ \u3068\u3057\uff0c\u3053\u3053\u3067\u306e\u5e73\u5747\u5316\u306b\u4f7f\u308f\u308c\u308b\u30e1\u30c8\u30ea\u30c3\u30af\u306f (9) \u5f0f\u306b\u3042\u308b\u3088\u3046\u306b<\/p>\n
$$g_{ij} = a^2 \\left(\\delta_{ij} + 2 E_{,ij}\u00a0 + 2 F\\delta_{ij}\\right)$$<\/p>\n
\u3053\u3053\u307e\u3067\u306f “no gauge-fixing is made”<\/p>\n
\u3082\u3057\uff0c$B = E = 0$\u00a0 \u3068\u3044\u3046\u30b2\u30fc\u30b8\u3092\u3068\u308c\u3070 [39] \u306b\u306a\u308b\u3057\uff0c$A = B = 0, v = 0$ \u3068\u3059\u308c\u3070 [36] \u306b\u306a\u308b\u3002<\/p>\n
2\u3064\u3081\u306f (40) \u304c gauge-invariant \u3067\u306a\u3044\uff0c\u3068\u3044\u3046\u30af\u30ec\u30fc\u30e0\u3002\u3053\u308c\u3082\u8a00\u3044\u304c\u304b\u308a\u3002\u6211\u3005\u306f (40) \u3084 (41) \u304c gauge-invariant \u3060\u3068\u306f\u4e00\u8a00\u3082\u8a00\u3063\u3066\u3044\u306a\u3044\u3002\u6211\u3005\u304c\u8a00\u3063\u3066\u308b\u306e\u306f\u00a0 (43) \u306e\u5e73\u5747<\/p>\n
$$\\left\\langle \\varrho\\right\\rangle = \\left\\langle \\rho_b + \\rho_b \\varDelta\\right\\rangle =
\n\\rho_b + \\rho_b \\left\\langle\\varDelta\\right\\rangle$$<\/p>\n
\u304c\u30b2\u30fc\u30b8\u4e0d\u5909\u91cf\u3067\u66f8\u3051\u3066\u3044\u308b\u3068\u3044\u3046\u3053\u3068\u3060\u3051\u3002<\/p>\n
3\u3064\u3081\u306f\uff0c(45) \u5f0f\u3092\u51fa\u3059\u306e\u306b\uff0ccommutation rule \u4f7f\u3063\u3066\u308b\u3093\u3058\u3083\u306a\u3044\u306e\uff0c\u3068\u3044\u3046\u30af\u30ec\u30fc\u30e0\u3002\u3053\u308c\u3082\u8a00\u3044\u304c\u304b\u308a\u3002\u6211\u3005\u306f\u3061\u3083\u3093\u3068 “it is straightforward to show from (42) …” \u3068\u66f8\u3044\u3066\u3044\u308b\u3002\u3061\u3083\u3093\u3068\u8a08\u7b97\u3059\u308b\u3068\uff0c1\u6b21\u306e\u30aa\u30fc\u30c0\u30fc\u3067 (45) \u5f0f\u306b\u306a\u308a\u307e\u3059\u3088\uff0c\u3068\u66f8\u3044\u3066\u308b\u3067\u3057\u3087\u3002<\/p>\n
\u4ee5\u4e0a\uff0c3\u3064\u306e\u30af\u30ec\u30fc\u30e0\u306b\u3064\u3044\u3066\u306f\uff0c\u6211\u3005\u304c\u3059\u3067\u306b\u30aa\u30ea\u30b8\u30ca\u30eb\u306emanuscript \u306b\u3061\u3083\u3093\u3068\u8a18\u8f09\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u8aad\u3081\u3070\u308f\u304b\u308b\u985e\u306e\u8a00\u3044\u304c\u304b\u308a\u3067\u3042\u308b\u3002\u3057\u304b\u3057\uff0c\uff08\u300c\u5f7c\u300d\u306e\u3088\u3046\u306b\uff09\u4e0d\u7528\u610f\u306a\u52d8\u9055\u3044\u3092\u3055\u308c\u306a\u3044\u305f\u3081\u306b\uff0c\u3053\u308c\u3053\u308c\u3092\u8ffd\u8a18\u3057\u305f\uff0c\u3068\u3044\u3046\u5bfe\u5fdc\u3092\u3059\u308c\u3070\u3088\u3044\u3067\u3059\u3002<\/p>\n
\u3069\u3046\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n
<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4211","post","type-post","status-publish","format-standard","hentry","category-memo","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/4211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=4211"}],"version-history":[{"count":5,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/4211\/revisions"}],"predecessor-version":[{"id":4216,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/4211\/revisions\/4216"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=4211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=4211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=4211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}