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

TL;DR

This paper investigates the properties of Topological ModMax (A)dS black holes, focusing on their quasinormal modes, emission rates, and the effects of the ModMax parameter and cosmological constant.

Contribution

It introduces new black hole solutions in Einstein gravity with ModMax nonlinear electrodynamics and analyzes their thermodynamics, quasinormal modes, and emission characteristics.

Findings

Quasinormal spectra depend on ModMax parameter and cosmological constant.

Null geodesics and shadow radius are affected by ModMax modifications.

Energy emission rates are influenced by the black hole's parameters.

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.