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Cai, Rong-Gen; Cao, Li-Ming; Ohta, Nobuyoshi; Cai, RG , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China
Black holes without mass and entropy in Lovelock gravity
Source PublicationPHYSICAL REVIEW D
KeywordGauss-bonnet Theory Extended Einstein Equations Symmetrical-solutions Thermodynamics Curvature Tensor Brane Terms
AbstractWe present a class of new black hole solutions in D-dimensional Lovelock gravity theory. The solutions have a form of direct product M(m) x H(n), where D m + n, H(n) is a negative constant curvature space, and the solutions are characterized by two integration constants. When m 3 and 4, these solutions reduce to the exact black hole solutions recently found by Maeda and Dadhich in Gauss-Bonnet gravity theory. We study thermodynamics of these black hole solutions. Although these black holes have a nonvanishing Hawking temperature, surprisingly, the mass of these solutions always vanishes. While the entropy also vanishes when m is odd, it is a constant determined by an Euler characteristic of (m - 2)-dimensional cross section of black hole horizon when m is even. We argue that the constant in the entropy should be thrown away. Namely, when m is even, the entropy of these black holes also should vanish. We discuss the implications of these results.
2010
ISSN1550-7998
Volume81Issue:2Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNSFC, China[10535060, 10821504, 10975168]; MSTC, China[2010CB833004]; JSPS[20540283, 21.09225]; Japan-U.K. Research Cooperative Program ; NSFC, China[10535060, 10821504, 10975168]; MSTC, China[2010CB833004]; JSPS[20540283, 21.09225]; Japan-U.K. Research Cooperative Program ; NSFC, China[10535060, 10821504, 10975168]; MSTC, China[2010CB833004]; JSPS[20540283, 21.09225]; Japan-U.K. Research Cooperative Program ; NSFC, China[10535060, 10821504, 10975168]; MSTC, China[2010CB833004]; JSPS[20540283, 21.09225]; Japan-U.K. Research Cooperative Program
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Cited Times:40[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5180
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCai, RG , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Cai, Rong-Gen,Cao, Li-Ming,Ohta, Nobuyoshi,et al. Black holes without mass and entropy in Lovelock gravity[J]. PHYSICAL REVIEW D,2010,81(2):-.
APA Cai, Rong-Gen,Cao, Li-Ming,Ohta, Nobuyoshi,&Cai, RG , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China.(2010).Black holes without mass and entropy in Lovelock gravity.PHYSICAL REVIEW D,81(2),-.
MLA Cai, Rong-Gen,et al."Black holes without mass and entropy in Lovelock gravity".PHYSICAL REVIEW D 81.2(2010):-.
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