翻訳と辞書 Words near each other ・ Kasmalieva & Djumaliev ・ Kasmandi Kalan ・ Kasmar block ・ Kasme Vaade ・ Kasmere Lake ・ Kasmir ・ Kasmir (singer) ・ Kasmira Kingdom ・ Kasmodiah ・ KASMs ・ KASN ・ Kasna Creek Mining District ・ Kasnakovo ・ Kasnazani ・ Kasner ・ Kasner metric ・ Kasner's dwarf burrowing skink ・ Kasnia ・ Kasnäs ・ KASO ・ Kaso ・ Kaso River ・ Kaso River (Garut) ・ Kaso River (Sukabumi) ・ Kaso River, Borneo ・ Kasoa ・ Kasoa Interchange ・ Kasoda ・ Kasol ・ Kasomouli tram stop 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 Kasner metric ： ウィキペディア英語版 Kasner metric The Kasner metric, developed by and named for the American mathematician Edward Kasner, is an exact solution to Einstein's theory of general relativity. It describes an anisotropic universe without matter (i.e., it is a vacuum solution). It can be written in any spacetime dimension $D>3$ and has strong connections with the study of gravitational chaos. == Metric and conditions == The metric in $D>3$ spacetime dimensions is :$\backslash texts^2\; =\; -\backslash textt^2\; +\; \backslash sum\_^\; t^\; ()^2$, and contains $D-1$ constants $p\_j$, called the ''Kasner exponents.'' The metric describes a spacetime whose equal-time slices are spatially flat, however space is expanding or contracting at different rates in different directions, depending on the values of the $p\_j$. Test particles in this metric whose comoving coordinate differs by $\backslash Delta\; x^j$ are separated by a physical distance $t^\backslash Delta\; x^j$. The Kasner metric is an exact solution to Einstein's equations in vacuum when the Kasner exponents satisfy the following ''Kasner conditions,'' :$\backslash sum\_^\; p\_j\; =\; 1,$ :$\backslash sum\_^\; p\_j^2\; =\; 1.$ The first condition defines a plane, the ''Kasner plane,'' and the second describes a sphere, the ''Kasner sphere.'' The solutions (choices of $p\_j$) satisfying the two conditions therefore lie on the sphere where the two intersect (sometimes confusingly also called the Kasner sphere). In $D$ spacetime dimensions, the space of solutions therefore lie on a $D-3$ dimensional sphere $S^$. 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「Kasner 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.