de Rham-Gabadadze-Tolley massive gravity with degenerate reference metrics
文献类型：期刊论文
| 作者 | 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
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：理论物理研究所
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