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On Thermodynamics of AdS Black Holes in Arbitrary Dimensions |
| A. Belhaj1, M. Chabab2, H. El Moumni2, M. B. Sedra3** |
1Centre of Physics and Mathematics, CPM-CNESTEN, Rabat, Morocco
2High Energy Physics and Astrophysics Laboratory, FSSM, Cadi Ayyad University, Marrakesh, Morocco
3Université Ibn Tofail, Faculté des Sciences, Département de Physique, LHESIR, Kénitra, Morocco
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| Cite this article: |
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A. Belhaj, M. Chabab, H. El Moumni et al 2012 Chin. Phys. Lett. 29 100401 |
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Abstract 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.
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Received: 15 August 2012
Published: 01 October 2012
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| PACS: |
04.70.-s
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(Physics of black holes)
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05.70.Ce
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(Thermodynamic functions and equations of state)
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