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Cao, LM; Peng, YX; Zhang, YL; Cao, LM (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.; Cao, LM (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics
Source PublicationPHYSICAL REVIEW D
Language英语
AbstractIn 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.
2016
Volume93Issue:12Pages:124015
Subject AreaAstronomy & Astrophysics ; Physics
DOIhttp://dx.doi.org/10.1103/PhysRevD.93.124015
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF161CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF161CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF161CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF161CJ1] ; MOST Grant [104-2811- M-002-080] ; MOST Grant [104-2811- M-002-080] ; MOST Grant [104-2811- M-002-080] ; MOST Grant [104-2811- M-002-080]
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21625
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCao, LM (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.; Cao, LM (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Cao, LM,Peng, YX,Zhang, YL,et al. de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics[J]. PHYSICAL REVIEW D,2016,93(12):124015.
APA Cao, LM,Peng, YX,Zhang, YL,Cao, LM ,&Cao, LM .(2016).de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics.PHYSICAL REVIEW D,93(12),124015.
MLA Cao, LM,et al."de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics".PHYSICAL REVIEW D 93.12(2016):124015.
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