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arxiv: 1210.4617 · v1 · submitted 2012-09-23 · ✦ hep-th · gr-qc

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On Thermodynamics of AdS Black Holes in Arbitrary Dimensions

A. Belhaj , M. Chabab , H. El Moumni , M. B. Sedra
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classification ✦ hep-th gr-qc
keywords blackarbitrarychargedcriticaldimensionsholeholesterms
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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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Black hole chemistry: thermodynamics with Lambda

    hep-th 2016-08 accept novelty 3.0

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...