Generalized formalism in gauge-invariant gravitational perturbations

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	Generalized formalism in gauge-invariant gravitational perturbations
	Cai, RG
刊名	PHYSICAL REVIEW D
	2013
卷号	88 期号:8 页码:84047
关键词	STATIC BLACK-HOLES HIGHER DIMENSIONS MASTER EQUATION WAVE-EQUATION SPACE-TIMES STABILITY
ISSN号	1550-7998
通讯作者	Cai, RG (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
英文摘要	By the use of the gauge-invariant variables proposed by Kodama and Ishibashi, we obtain the most general perturbation equations in the (m + n)-dimensional spacetime with a warped product metric. These equations do not depend on the spectral expansions of the Laplace-type operators on the n-dimensional Einstein manifold. These equations enable us to have a complete gauge-invariant perturbation theory and a well-defined spectral expansion for all modes, and the gauge invariance is kept for each mode. By studying perturbations of some projections of Weyl tensor in the case of m = 2, we define three Teukolsky-like gauge-invariant variables and obtain the perturbation equations of these variables by considering the perturbations of the Penrose wave equations in the (2 + n)-dimensional Einstein spectime. In particular, we find the relations between the Teukolsky-like gauge-invariant variables and the Kodama-Ishibashi gauge-invariant variables. These relations imply that the Kodama-Ishibashi gauge-invariant variables all come from the perturbations of the Weyl tensor of the spacetime.
学科主题	Physics
收录类别	SCI
资助信息	National Natural Science Foundation of China [10821504, 11035008, 11205148, 11235010]
原文出处	http://dx.doi.org/10.1103/PhysRevD.88.084047
语种	英语
WOS记录号	WOS:000326162700005
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15261]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Cai, RG. Generalized formalism in gauge-invariant gravitational perturbations[J]. PHYSICAL REVIEW D,2013,88(8):84047.
APA	Cai, RG.(2013).Generalized formalism in gauge-invariant gravitational perturbations.PHYSICAL REVIEW D,88(8),84047.
MLA	Cai, RG."Generalized formalism in gauge-invariant gravitational perturbations".PHYSICAL REVIEW D 88.8(2013):84047.