翻訳と辞書 Words near each other ・ Isotria verticillata ・ Isotrias ・ Isotrias buckwelli ・ Isotrias cuencana ・ Isotrias huemeri ・ Isotrias hybridana ・ Isotrias joannisana ・ Isotrias martelliana ・ Isotrias penedana ・ Isotrias rectifasciana ・ Isotrias stramentana ・ Isotricha intestinalis ・ Isotrilophus ・ Isotron ・ Isotropic bands ・ Isotropic coordinates ・ Isotropic etching ・ Isotropic formulations ・ Isotropic line ・ Isotropic manifold ・ Isotropic quadratic form ・ Isotropic radiation ・ Isotropic radiator ・ Isotropic solid ・ Isotropis ・ Isotropy ・ Isotta Brothers ・ Isotta degli Atti ・ Isotta Fraschini ・ Isotta Fraschini Asso XI Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Isotropic coordinates ： ウィキペディア英語版 Isotropic coordinates In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of ''nested round spheres''. There are several different types of coordinate chart which are ''adapted'' to this family of nested spheres; the best known is the Schwarzschild chart, but the isotropic chart is also often useful. The defining characteristic of an isotropic chart is that its radial coordinate (which is different from the radial coordinate of a Schwarschild chart) is defined so that light cones appear ''round''. This means that (except in the trivial case of a locally flat manifold), the angular isotropic coordinates do not faithfully represent distances within the nested spheres, nor does the radial coordinate faithfully represent radial distances. On the other hand, angles in the constant time hyperslices are represented without distortion, hence the name of the chart. Isotropic charts are most often applied to static spherically symmetric spacetimes in metric theories of gravitation such as general relativity, but they can also be used in modeling a spherically pulsating fluid ball, for example. For isolated spherically symmetric solutions of the Einstein field equation, at large distances, the isotropic and Schwarzschild charts become increasingly similar to the usual polar spherical chart on Minkowski spacetime. ==Definition== In an isotropic chart (on a static spherically symmetric spacetime), the line element takes the form :$ds^2\; =\; -f(r)^2\; \backslash ,\; dt^2\; +\; g(r)^2\; \backslash ,\; \backslash left(\; dr^2\; +\; r^2\; \backslash ,\; \backslash left(\; d\backslash theta^2\; +\; \backslash sin(\backslash theta)^2\; \backslash ,\; d\backslash phi^2\; \backslash right)\; \backslash right),$ : Depending on context, it may be appropriate to regard f,g as undetermined functions of the radial coordinate (for example, in deriving an exact static spherically symmetric solution of the Einstein field equation). Alternatively, we can plug in specific functions (possibly depending on some parameters) to obtain an isotropic coordinate chart on a specific Lorentzian spacetime. 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「Isotropic coordinates」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.