On Thermodynamics of AdS Black Holes in Arbitrary Dimensions

Abstract

Considering the cosmological constant $\Lambda$ 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.

8 pages, 10 figures, Accepted by Chin. Phys. Lett. on 18/9/2012

References in corpus (3)

• P-V criticality of charged AdS black holes
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Charged BTZ-like Black Holes in Higher Dimensions

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