Physical properties of a regular rotating black hole: Thermodynamics, stability, and quasinormal modes

Abstract

Respecting the angular momentum conservation of torque-free systems, it is natural to consider rotating solutions of massive objects. Besides that, motivated by the realistic astrophysical black holes that rotate, we consider a nonlinearly charged regular rotating black hole. We investigate the geometrical properties of the metric by studying the boundary of ergosphere. We also analyze thermodynamic properties of the solution in anti-de Sitter spacetime and examine thermal stability and the existence of phase transition. In addition, we perturb the black hole by using of a real massless scalar field as a probe to investigate its dynamic stability. We also obtain an analytic expression for the real and imaginary parts of the quasinormal frequencies.