Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordstr\"om spacetime

TL;DR

This paper investigates the properties, thermodynamics, and perturbations of a nonlinear electromagnetic extension of AdS Reissner-Nordstr"om black holes, providing insights into their structure, stability, and evolution.

Contribution

It introduces a detailed analysis of a nonlinear electromagnetic extension in AdS black holes, including thermodynamics, geodesics, shadow formation, and quasinormal modes.

Findings

Modified horizon and metric structure due to nonlinearity

Thermodynamic quantities indicate stability regimes

Quasinormal modes reveal characteristic oscillations

Abstract

We explore the gravitational properties of a nonlinear electromagnetic extension of an AdS Reissner-Nordstr\"om black hole. Our study begins with an analysis of the metric function and horizon structure, followed by calculations of the Ricci and Kretschmann scalars and an evaluation of the non-vanishing Christoffel symbols. These calculations allow us to examine geodesics and their influence on the photon sphere, and shadow formation. In the thermodynamic framework, we evaluate essential quantities, including the Hawking temperature, entropy, heat capacity, Gibbs free energy, and Hawking radiation emission. We further investigate black hole evaporation by estimating the evaporation timescale as the black hole approaches its final state. Additionally, quasinormal modes for scalar and vector perturbations are computed using the WKB approximation to characterize oscillatory behavior of the system. Finally, a time-domain analysis is provided in order to examine the evolution of these perturbations.