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arXiv · 1307.7421

On Thermodynamical Behaviors of Kerr-Newman AdS Black Holes

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

We reconsider the study of critical behaviors of Kerr-Newman AdS black holes in four dimensions. The study is made in terms of the moduli space parameterized by the charge Q and the rotation parameter a, relating the mass M of the black hole and its angular momentum J via the relation a=J/M. Specifically, we discuss such thermodynamical behaviors in the presence of a positive cosmological constant considered as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume. The equation of state for a charged RN-AdS black hole predicts a critical universal number depending on the (Q,a) moduli space. In the vanishing limit of the a parameter, this prediction recovers the usual universal number in four dimensions. Then, we find the bounded regions of the moduli space allowing the consistency of the model with real thermodynamical variables.

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A. Belhaj, M. Chabab, H. El Moumni, L. Medari, M. B. Sedra. 2013-07-28. On Thermodynamical Behaviors of Kerr-Newman AdS Black Holes. https://doi.org/10.1088/0256-307x%2F30%2F9%2F090402

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