Gauss-Bonnet black holes in AdS spaces

By R. Cai. 2001

896 citations recorded by the source corpus.

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 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4cd8972bb55d237e895a5438720fd75778fa677d

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Citations in the corpus

AdS7/CFT6, Gauss-Bonnet gravity, and viscosity bound (2009, background): “with dΣ(2)5,k the metric of a 5-dimensional manifold of constant curvature equal to 20k [29, 30].”
Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity (2002, background): “Let us set at first α = −β/4 = γ in (5), and also drop the Hawking-Gibbon term.”
Holographic GB gravity in arbitrary dimensions (2009, background): “The solutions describing planar AdS black holes take the form [20]”
On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, background): “Among the gravity theories with higher derivative curvature terms, the Gauss-Bonnet (GB) gravity has some special features and gives rise to some interesting effects on the thermodynamics of black holes in AdS space[27, 28, 29, 30, 31, 32].”
Action growth for AdS black holes (2016, background): “4) The exact vacuum solution follows from [38] as ds(2) = −f(r)dt(2) + 1 f(r) dr(2) + r(2)hijdx dx , (5.”
On holographic entanglement entropy and higher curvature gravity (2011, positive): “ [23]. Recently, there has been renewed interest in these theories in the context of the AdS/CFT correspondence. In particular, asymptotically AdS black hole solutions were found for Lovelock gravity [19, 24, 25]. These exact solutions then proved useful in discussions of holographic hydrodynamics a”
On Gauss-Bonnet black hole entropy (2004, methodology): “In [30], the mass and temperature of these black hole solutions was obtained in the usual way.”
Analytical study on holographic superconductors in external magnetic field (2010, methodology): “We start with the neutral AdS black hole solution in D dimensions described by the metric [56–58]”