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题名: Generalized formalism in gauge-invariant gravitational perturbations
作者: Cai, RG ;  Cao, LM
刊名: PHYSICAL REVIEW D
出版日期: 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
学科分类: Physics
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.
部门归属: [Cao, Li-Ming] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China; [Cai, Rong-Gen; Cao, Li-Ming] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, 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.
资助者: National Natural Science Foundation of China [10821504, 11035008, 11205148, 11235010]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000326162700005
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15261
Appears in Collections:理论物理所2013年知识产出 _期刊论文

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Recommended Citation:
Cai, RG,Cao, LM. Generalized formalism in gauge-invariant gravitational perturbations[J]. PHYSICAL REVIEW D,2013,88(8):84047.
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