The Thermodynamical Behaviors of Kerr–Newman AdS Black Holes
A. Belhaj1,2, M. Chabab2, H. El Moumni2*, L. Medari2, M. B. Sedra3
1Département de Physique, Faculté Polydisciplinaire, Université Sultan Moulay Slimane, Béni Mellal, Morocco 2High Energy Physics and Astrophysics Laboratory, FSSM, Cadi Ayyad University, Marrakesh, Morocco 3 Université Ibn Tofail, Faculté des Sciences, Département de Physique, LHESIR, Kénitra, Morocco
Abstract：We reconsider the study of critical behaviors of Kerr–Newman Anti-de Sitter (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 Reissner–Nordstrom 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 region of the moduli space allowing the consistency of the model with real thermodynamical variables.
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
. [J]. 中国物理快报, 2013, 30(9): 90402-090402.
A. Belhaj, M. Chabab, H. El Moumni, L. Medari, M. B. Sedra. The Thermodynamical Behaviors of Kerr–Newman AdS Black Holes. Chin. Phys. Lett., 2013, 30(9): 90402-090402.
2013, Vol. 30 
