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Cai, RG ; Sasaki, M; Wang, SJ; Wang, SJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Wang, SJ (reprint author), Kyoto Univ, Yukawa Inst Theoret Phys, Ctr Gravitat Phys, Kyoto 6068502, Japan.; Sasaki, M (reprint author), Kyoto Univ, Int Res Unit Adv Future Studies, Kyoto 6068502, Japan.; Wang, SJ (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China.
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| Action growth of charged black holes with a single horizon | |
| Source Publication | PHYSICAL REVIEW D
 |
| Language | 英语 |
| Abstract | According to the conjecture "complexity equals action," the complexity of a holographic state is equal to the action of a Wheeler-DeWitt (WDW) patch of black holes in anti-de Sitter space. In this paper we calculate the action growth of charged black holes with a single horizon, paying attention to the contribution from a spacelike singularity inside the horizon. We consider two kinds of such charged black holes: one is a charged dilaton black hole, and the other is a Born-Infeld black hole with beta(2)Q(2) < 1/4. In both cases, although an electric charge appears in the black hole solutions, the inner horizon is absent; instead a spacelike singularity appears inside the horizon. We find that the action growth of the WDWpatch of the charged black hole is finite and satisfies the Lloyd bound. As a check, we also calculate the action growth of a charged black hole with a phantom Maxwell field. In this case, although the contributions from the bulk integral and the spacelike singularity are individually divergent, these two divergences just cancel each other and a finite action growth is obtained. But in this case, the Lloyd bound is violated as expected. |
| 2017 | |
| Volume | 95Issue:12Pages:124002 |
| Subject Area | Astronomy & Astrophysics ; Physics |
| DOI | http://dx.doi.org/10.1103/PhysRevD.95.124002 |
| Funding Organization | National Natural Science Foundation of China [11375247, 11435006, 11447601] ; National Natural Science Foundation of China [11375247, 11435006, 11447601] ; National Natural Science Foundation of China [11375247, 11435006, 11447601] ; National Natural Science Foundation of China [11375247, 11435006, 11447601] ; key project of CAS [QYZDJ-SSW-SYS006] ; key project of CAS [QYZDJ-SSW-SYS006] ; key project of CAS [QYZDJ-SSW-SYS006] ; key project of CAS [QYZDJ-SSW-SYS006] ; MEXT KAKENHI [15H05888, 15K21733] ; MEXT KAKENHI [15H05888, 15K21733] ; MEXT KAKENHI [15H05888, 15K21733] ; MEXT KAKENHI [15H05888, 15K21733] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/22042 |
| Collection | SCI期刊论文 |
| Corresponding Author | Cai, RG; Sasaki, M; Wang, SJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Wang, SJ (reprint author), Kyoto Univ, Yukawa Inst Theoret Phys, Ctr Gravitat Phys, Kyoto 6068502, Japan.; Sasaki, M (reprint author), Kyoto Univ, Int Res Unit Adv Future Studies, Kyoto 6068502, Japan.; Wang, SJ (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China. |
| Recommended Citation GB/T 7714 | Cai, RG,Sasaki, M,Wang, SJ,et al. Action growth of charged black holes with a single horizon[J]. PHYSICAL REVIEW D,2017,95(12):124002. |
| APA | Cai, RG.,Sasaki, M.,Wang, SJ.,Wang, SJ .,Wang, SJ .,...&Wang, SJ .(2017).Action growth of charged black holes with a single horizon.PHYSICAL REVIEW D,95(12),124002. |
| MLA | Cai, RG,et al."Action growth of charged black holes with a single horizon".PHYSICAL REVIEW D 95.12(2017):124002. |
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