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arXiv · 1210.4617

On Thermodynamics of AdS Black Holes in Arbitrary Dimensions

A. Belhaj·M. Chabab·H. El Moumni·M. B. Sedra
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Abstract

Considering the cosmological constant $Λ$ as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume as proposed in Kubiznak and Mann (2012), 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 $d$. Among our result in this context consists in showing that the equation of state for a charged RN-AdS black hole predicts an universal number given by $\frac{2d-5}{4d-8}$. The three dimensional solution is also discussed.

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A. Belhaj, M. Chabab, H. El Moumni, M. B. Sedra. 2012-09-23. On Thermodynamics of AdS Black Holes in Arbitrary Dimensions. https://doi.org/10.1088/0256-307x%2F29%2F10%2F100401

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