Lovelock black holes with double-logarithmic electrodynamics source

TL;DR

This paper explores how double-logarithmic electrodynamics influences the properties and thermodynamics of Lovelock black holes across various gravity theories, revealing stability regions and new thermodynamic behaviors.

Contribution

It introduces a novel nonlinear electrodynamics model and derives black hole solutions in Lovelock gravity, analyzing their thermodynamic stability and properties.

Findings

Double-logarithmic electrodynamics affects black hole thermodynamics.

Stable horizon radius regions identified for different theories.

New thermodynamic behaviors observed in Lovelock black holes.

Abstract

This work examines the magnetized black holes of Lovelock gravity in the presence of double-logarithmic electrodynamics. In this context, the Lovelock polynomial is found and the accompanying thermodynamic quantities, such as mass, entropy, Hawking temperature, and heat capacity are determined. This new model of nonlinear electrodynamics is used to calculate the black hole solutions of Einstein, Gauss-Bonnet and third order Lovelock gravities as well. The impacts of the double-logarithmic electromagnetic field on the black hole thermodynamics in these particular theories are examined and the regions of horizon radius that correspond to the local thermodynamic stability are highlighted.