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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 Distorted Schwarzschild metric ： ウィキペディア英語版 Distorted Schwarzschild metric The distorted Schwarzschild metric refers to the metric of a standard/isolated Schwarzschild spacetime exposed in external fields. In numerical simulation, the Schwarzschild metric can be distorted by almost arbitrary kinds of external energy–momentum distribution. However, in exact analysis, the mature method to distort the standard Schwarzschild metric is restricted to the framework of Weyl metrics. ==Standard Schwarzschild as a vacuum Weyl metric== All static axisymmetric solutions of the Einstein-Maxwell equations can be written in the form of Weyl's metric,〔Jeremy Bransom Griffiths, Jiri Podolsky. ''Exact Space-Times in Einstein's General Relativity''. Cambridge: Cambridge University Press, 2009. Chapter 10.〕 $(1)\backslash quad\; ds^2=-e^dt^2+e^(d\backslash rho^2+dz^2)+e^\backslash rho^2\; d\backslash phi^2\backslash ,,$ From the Weyl perspective, the metric potentials generating the standard Schwarzschild solution are given by〔〔R Gautreau, R B Hoffman, A Armenti. ''Static multiparticle systems in general relativity''. IL NUOVO CIMENTO B, 1972, 7(1): 71-98.〕 $(2)\backslash quad\; \backslash psi\_=\backslash frac\backslash ln\backslash frac\backslash ,,\backslash quad\; \backslash gamma\_=\backslash frac\backslash ln\backslash frac\backslash ,,$ where $(3)\backslash quad\; L=\backslash frac\backslash big(l\_+\; +\; l\_-\; \backslash big)\backslash ,,\backslash quad\; l\_+\; =\backslash sqrt\backslash ,,\backslash quad\; l\_-\; =\backslash sqrt\backslash ,,$ which yields the Schwarzschild metric in ''Weyl's canonical coordinates'' that $(4)\backslash quad\; ds^2=-\backslash fracdt^2+\backslash frac(d\backslash rho^2+dz^2)+\backslash frac\backslash ,\backslash rho^2\; d\backslash phi^2\backslash ,.$ 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「Distorted Schwarzschild metric」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.