de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics

doi:http://dx.doi.org/10.1103/PhysRevD.93.124015

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	de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics
	Zhang, YL; Cao, LM (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.; Cao, LM; Peng, YX; Cao, LM (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
刊名	PHYSICAL REVIEW D
	2016
卷号	93 期号:12 页码:124015
DOI	http://dx.doi.org/10.1103/PhysRevD.93.124015
英文摘要	In De Rham-Gabadadze-Tolley massive gravity, to get the equations of motion, the square root tensor is assumed to be invertible in the variation of the action. However, this condition cannot be fulfilled when the reference metric is degenerate. This implies that the resulting equations of motion might be different from the case where the reference metric has full rank. In this paper, by generalizing the Moore-Penrose inverse to the cases of symmetric tensors on Lorentz manifolds, we get the equations of motion of the theory with a degenerate reference metric. It is found that the equations of motion are a little bit different from those in the nondegenerate cases. Based on the result of the equations of motion, for the (2 + n)-dimensional solutions with the symmetry of n-dimensional maximally symmetric space, we prove a generalized Birkhoff-type theorem in the case where the degenerate reference metric has rank n; i.e., we show that the solutions must be Schwarzschild type or Nariai-Bertotti-Robinson type under the given assumptions.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21625]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Cao, LM (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.; Cao, LM (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
推荐引用方式 GB/T 7714	Zhang, YL,Cao, LM ,Cao, LM,et al. de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics[J]. PHYSICAL REVIEW D,2016,93(12):124015.
APA	Zhang, YL,Cao, LM ,Cao, LM,Peng, YX,&Cao, LM .(2016).de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics.PHYSICAL REVIEW D,93(12),124015.
MLA	Zhang, YL,et al."de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics".PHYSICAL REVIEW D 93.12(2016):124015.