Quasinormal modes and emission rate of ModMax (A)dS black holes

Abstract: By considering a new model of nonlinear electrodynamics, known as the modified Maxwell (ModMax), and taking into account the topological and the cosmological constants in Einstein's gravity, we extract black hole solutions called Topological ModMax (A)dS black holes. The next step is to study the thermodynamic properties, quasinormal modes, and emission rates of these black holes in order to examine the impact of ModMax's parameter and the cosmological constant on these systems. To achieve this, we obtain the quasinormal spectra for massless scalar, electromagnetic, and Dirac perturbations. Additionally, we calculate null geodesics and determine the radius of the critical orbit. We then apply this information to derive the angular velocity and the Lyapunov exponent, which represent the real and imaginary terms of the quasinormal modes in the eikonal limit, respectively. Furthermore, we investigate the energy emission rate based on the discussion of null geodesics and the shadow radius.