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Cai, RG; Cai, RG , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Gauss-Bonnet black holes in AdS spaces
Source PublicationPHYSICAL REVIEW D
KeywordGenerated Gravity Models De Sitter Space Topological Censorship Symmetric-solutions Gauge-theory Thermodynamics Dimensions Relativity Horizons
AbstractWe study the thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of these topological black holes can be a hypersurface with positive, zero, or negative constant curvature. When the horizon is a zero curvature hypersurface, the thermodynamic properties of black holes are completely the same as those of black holes without the Gauss-Bonnet term, although the two black hole solutions are quite different. When the horizon is a negative constant curvature hypersurface, the thermodynamic properties of the Gauss-Bonnet black holes are qualitatively similar to those of black holes without the Gauss-Bonnet term. When the event horizon is a hypersurface with positive constant curvature, we find that the thermodynamic properties and phase structures of black holes drastically depend on the spacetime dimension d and the coefficient of the Gauss-Bonnet term: when dgreater than or equal to6, the properties of black holes are also qualitatively similar to the case without the Gauss-Bonnet term, but when d=5, a new phase of locally stable small blacks holes occurs under a critical value of the Gauss-Bonnet coefficient, and beyond the critical value, the black holes are always thermodynamically stable. However, the locally stable small black hole is not globally preferred; instead a thermal anti-de Sitter space is globally preferred. We find that there is a minimal horizon radius, below which the Hawking-Page phase transition will not occur since for these black holes the thermal anti-de Sitter space is always globally preferred.
2002
ISSN0556-2821
Volume65Issue:8Pages:-
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:546[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13537
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCai, RG , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Cai, RG,Cai, RG , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. Gauss-Bonnet black holes in AdS spaces[J]. PHYSICAL REVIEW D,2002,65(8):-.
APA Cai, RG,&Cai, RG , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2002).Gauss-Bonnet black holes in AdS spaces.PHYSICAL REVIEW D,65(8),-.
MLA Cai, RG,et al."Gauss-Bonnet black holes in AdS spaces".PHYSICAL REVIEW D 65.8(2002):-.
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