Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity

TL;DR

This paper explores rotating black brane solutions in Gauss-Bonnet gravity coupled with a nonlinear power Maxwell electromagnetic field, analyzing their singularities, asymptotic behavior, and thermodynamic properties to verify consistency with thermodynamic laws.

Contribution

It introduces a new class of rotating black brane solutions in Gauss-Bonnet gravity with nonlinear electromagnetic fields and examines their thermodynamic properties.

Findings

Existence of singularities in the solutions.

Asymptotic behavior analyzed and characterized.

Thermodynamic quantities satisfy the first law.

Abstract

We consider the Gauss-Bonnet gravity in the presence of a new class of nonlinear electromagnetic field, namely, power Maxwell invariant. By use of a suitable transformation, we obtain a class of real rotating solutions with $k$ rotation parameters and investigate some properties of the solutions such as existence of singularity(ies) and asymptotic behavior of them. Also, we calculate the finite action, thermodynamic and conserved quantities of the solutions and using the the Smarr-type formula to check the first law of thermodynamics.