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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hawking energy ： ウィキペディア英語版 Hawking energy The Hawking energy or Hawking mass is one of the possible definitions of mass in general relativity. It is a measure of the bending of ingoing and outgoing rays of light that are orthogonal to a 2-sphere surrounding the region of space whose mass is to be defined. == Definition == Let $(\backslash mathcal^3,\; g\_)$ be a 3-dimensional sub-manifold of a relativistic spacetime, and let $\backslash Sigma\; \backslash subset\; \backslash mathcal^3$ be a closed 2-surface. Then the Hawking mass $m\_H(\backslash Sigma)$ of $\backslash Sigma$ is defined〔(Page 21 ) of Schoen, Richard, 2005, "Mean Curvature in Riemannian Geometry and General Relativity," in ''Global Theory of Minimal Surfaces: Proceedings of the Clay Mathematics Institute 2001 Summer School'', David Hoffman (Ed.), p.113-136.〕 to be :$m\_H(\backslash Sigma)\; :=\; \backslash sqrt\}\backslash left(\; 1\; -\; \backslash frac\backslash int\_\backslash Sigma\; H^2\; da\; \backslash right),$ where $H$ is the mean curvature of $\backslash Sigma$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hawking energy」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.