On Thermodynamics of AdS Black Holes in Arbitrary Dimensions

By A. Belhaj, M. Chabab, H. E. Moumni, M. B. Sedra. 2012

153 citations recorded by the source corpus.

Considering the cosmological constant Λ as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume as proposed by Kubiznak and Mann [J. High Energy Phys. 1207 (2012) 033], we discuss the critical behavior of charged AdS black hole in arbitrary dimensions d. In particular, we present a comparative study in terms of the spacetime dimension d and the displacement of critical points controlling the transition between the small and the large black holes. Such behaviors vary nicely in terms of d. Our result shows that the equation of state for a charged Reissner—Nordstrom AdS black hole predicts an universal number given by (2d − 5)/(4d − 8). The three-dimensional solution is also discussed.

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

View Paper: https://www.semanticscholar.org/paper/d0a52d932727245c2e6fe70633bf1a9cdb6b7ff0

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Citations in the corpus

Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “The idea is that the cosmological constant Λ be considered as a thermodynamic variable [2] analogous to pressure in the first law [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18].”
Effects of dark energy on P–V criticality of charged AdS black holes (2014, result): “This result is quite natural for it has been shown in former literatures that the ratio Pcvc Tc relies on some characteristic quantities of black hole spacetimes, such as dimensionality [10], Born-Infeld parameter [9], Lovelock parameter [21] etc.”
Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions (2014, background): “Then the analogy has been extended to other cases, including higher dimensional charged black holes [9,14,15], rotating black holes and black rings [16–20], Gauss-Bonnet black holes [21–23], f(R) black hole [24], black holes with scalar hair [25, 26], black holes with nonlinear source [27], Born-Inf”
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “The same remains true for charged AdS black holes in higher dimensions [16, 17, 27].”
Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes (2013, background): “[14] A.”