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Cited by 948Black Holes and Theoretical PhysicsCosmology and Gravitation TheoriesAstrophysical Phenomena and Observations

Gauss-Bonnet black holes in AdS spaces

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Cai, Rong-Gen·2002·Physical Review D
DOI 10.1103/physrevd.65.084014
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Abstract

We 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 $d>~6$, 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.

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  • Lovelock theories admit static, maximally symmetric black hole solutions with metric of the form (5.1).

    “Lovelock theories admit static, maximally symmetric black hole solutions with metric of the form [14-17] Σ = -+ + ds f r dt f r dr r d ( ) ( ) , (5.1) 2 2 1 2 2 2”

    From Causality and hyperbolicity of Lovelock theories (2014) · cites this paper as [16]

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Authors
Cai, R.-G.
Affiliations
Chinese Academy of Sciences (CN)
Corresponding author
Cai, Rong-Gen
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2002-03-25
Volume
65
Issue
8
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.65.084014
OpenAlex
W2159755659
Cited by
948
References
4
Citations by year
2026: 23 · 2025: 41 · 2024: 46 · 2023: 42 · 2022: 42 · 2021: 44 · 2020: 67 · 2019: 41 · 2018: 42 · 2017: 41 · 2016: 53 · 2015: 41 · 2014: 57 · 2013: 49 · 2012: 40
FWCI
9.44
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Chinese Academy of Sciences
  • Japan Society for the Promotion of Science (99020, 12640270)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
Keywords
Gauss-Bonnet black holes, topological black holes, anti-de Sitter space, black hole thermodynamics, black hole phase structure, Hawking-Page transition, negative cosmological constant, small black holes, general relativity

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