Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity

TL;DR

This paper derives static charged black hole solutions in quartic quasitopological gravity with nonlinear electromagnetic fields, analyzing their properties, stability, and thermodynamics in Anti-de Sitter space.

Contribution

It provides new exact solutions for charged black holes in quartic quasitopological gravity with nonlinear electrodynamics, including stability and thermodynamic analysis.

Findings

Black hole solutions exhibit one or two horizons or naked singularities.

Black holes are stable across various horizon geometries.

Entropy and thermodynamic properties are explicitly computed.

Abstract

In this paper, we present the static charged solutions of quartic quasitopological gravity in the presence of a nonlinear electromagnetic field. Two branches of these solutions present black holes with one or two horizons or a naked singularity depending on the charge and mass of the black hole. The entropy of the charged black holes of fourth order quasitopological gravity through the use of Wald formula is computed and the mass, temperature and the charge of these black holes are found as well. We show that black holes with spherical, flat and hyperbolical horizon in quasitopological gravity are stable for any allowed quasitopological parameters.