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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 Conformal gravity ： ウィキペディア英語版 Conformal gravity Conformal gravity are gravity theories that are invariant under conformal transformations in the Riemannian geometry sense; more accurately, they are invariant under Weyl transformations $g\_\backslash rightarrow\backslash Omega^2(x)g\_$ where $g\_$ is the metric tensor and $\backslash Omega(x)$ is a function on spacetime. ==Weyl-squared theories== The simplest theory in this category has the square of the Weyl tensor as the Lagrangian :$\backslash mathcal=\backslash int\; \backslash mathrm^4x\; \backslash sqrt\; C\_C^,$ where $C\_$ is the Weyl tensor. This is to be contrasted with the usual Einstein–Hilbert action where the Lagrangian is just the Ricci scalar. The equation of motion upon varying the metric is called the Bach equation, :$2\backslash nabla\_a\backslash nabla\_d^d+^dR\_=0,$ where $R\_$ is the Ricci tensor. Conformally flat metrics are solutions of this equation. Since these theories lead to fourth order equations for the fluctuations around a fixed background, they are not manifestly unitary. It has therefore been generally believed that they could not be consistently quantized. This is now disputed. 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「Conformal gravity」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.