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

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.