Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity

By M. Cvetič, Shin'ichi Nojiri, Sergei D. Odintsov. 2001

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Abstract We investigate the charged Schwarzschild–anti-de Sitter (SAdS) BH thermodynamics in 5d Einstein–Gauss–Bonnet gravity with electromagnetic field. The Hawking–Page phase transitions between SAdS BH and pure AdS space are studied. The corresponding phase diagrams (with critical line defined by GB term coefficient and electric charge) are drawn. The possibility to account for higher derivative Maxwell terms is mentioned. In frames of proposed dS/CFT correspondence it is demonstrated that brane gravity maybe localized similarly to AdS/CFT. SdS BH thermodynamics in 5d Einstein and Einstein–Gauss–Bonnet gravity is considered. The corresponding (complicated) surface counterterms are found and used to get the conserved BH mass, free energy and entropy. The interesting feature of higher derivative gravity is the possibility for negative (or zero) SdS (or SAdS) BH entropy which depends on the parameters of higher derivative terms. We speculate that the appearance of negative entropy may indicate a new type instability where a transition between SdS (SAdS) BH with negative entropy to SAdS (SdS) BH with positive entropy would occur.

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

View Paper: https://www.semanticscholar.org/paper/cdf2ecd6ad80cc72f44580c3ca451c99b6dfaf9c

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Citations in the corpus

The Lovelock Black Holes (2008, background): “The study of charged topological black holes in presence of cosmological constant was addressed in [99], where the most general solution of this type in EGB theory was obtained.”
The dS/CFT Correspondence and the Big Smash (2001, result): “ﬁcantly less natural. This represents a concrete application of the dS/CFT correspondence. To conclude, then: theoretical evidence in favour of the dS/CFT correspondence continues to mount − see [41]-[45] for a sample of recent important developments. The results of the present investigation suggest”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “It is well known that, in GB gravity, there are the static and spherically symmetric black hole solutions with d ≥ 5 [50–54].”
FRIEDMANN–ROBERTSON–WALKER BRANE COSMOLOGICAL EQUATIONS FROM THE FIVE-DIMENSIONAL BULk (A)dS BLACK HOLE (2002, methodology): “That was the reason why there was much activity in the study of brane-world aspects of Einstein-GB theory [8, 9 , 10].”
Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity (2009, background): “r the constant N #, N2 # = lim r!1 L2 r2 f(r) 1 = 1 2 1 + p 1 4 ; (3.14) which sets the boundary speed of light to unity. Thermodynamic properties of this black hole solution can be found in [33, 34, 35, 36] (and, in the special case = 1=4, in [37]; see also [38]). 4. Black hole perturbations In”