Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source

TL;DR

This paper introduces rotating black brane solutions in Gauss-Bonnet gravity with a conformally invariant Maxwell field, analyzing their properties, horizons, and thermodynamics in various spacetime asymptotics.

Contribution

It presents new rotating black brane solutions in Gauss-Bonnet gravity coupled with a conformally invariant Maxwell field, including their thermodynamic analysis.

Findings

Existence of black brane solutions with inner and outer horizons

Thermodynamic quantities satisfy the first law of thermodynamics

Solutions include extremal black branes and naked singularities

Abstract

In this paper, we present a class of rotating solutions in Gauss--Bonnet gravity in the presence of cosmological constant and conformally invariant Maxwell field and study the effects of the nonlinearity of the Maxwell source on the properties of the spacetimes. These solutions may be interpret as black brane solutions with inner and outer event horizons provide that the mass parameter $m$ is greater than an extremal value $m_{ext}$, an extreme black brane if $m=m_{ext}$ and a naked singularity otherwise. We investigate the conserved and thermodynamics quantities for asymptotically flat and asymptotically $AdS$ with flat horizon. We also show that the conserved and thermodynamic quantities of these solutions satisfy the first law of thermodynamics.