On Thermodynamical Behaviors of Kerr-Newman AdS Black Holes

Understand

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.