Third order Lovelock black branes in the presence of a nonlinear electromagnetic field

TL;DR

This paper studies rotating black brane solutions in third order Lovelock gravity coupled with a nonlinear electromagnetic field, analyzing their geometry, thermodynamics, and the impact of nonlinearity.

Contribution

It introduces a new class of horizon flat rotating black branes in third order Lovelock gravity with nonlinear electromagnetic coupling and examines their thermodynamic properties.

Findings

Nonlinear electromagnetic effects influence black brane geometry.

Thermodynamic quantities satisfy the first law.

The solutions extend known black brane models.

Abstract

We consider third order Lovelock gravity coupled to an U(1) gauge field for which its Lagrangian is given by a power of Maxwell invariant. In this paper, we present a class of horizon flat rotating black branes and investigate their geometrical properties and the effect of nonlinearity on the solutions. We use some known formulas and methods to calculate thermodynamic and conserved quantities. Finally, we check the satisfaction of the first law of thermodynamics.