Quartic Quasi-Topological-Born-Infeld Gravity

TL;DR

This paper explores new quartic quasi-topological black hole solutions within Born-Infeld gravity, analyzing their thermodynamics, conserved quantities, and extending to rotating black branes with finite action calculations.

Contribution

It introduces novel quartic quasi-topological black hole solutions with Born-Infeld electromagnetic fields and investigates their thermodynamic properties and conserved quantities.

Findings

Thermodynamics obey the first law for these black holes.

Finite action for asymptotically AdS rotating black branes is calculated.

Solutions extend understanding of black holes in higher-order gravity theories.

Abstract

In this paper, quartic quasi-topological black holes in the presence of a nonlinear electromagnetic Born-Infeld field is presented. By using the metric parameters, the charged black hole solutions of quasi-topological Born-Infeld gravity is considered. The thermodynamics of these black holes are investigated and I show that the thermodynamics and conserved quantities verify the first law of thermodynamics. I also introduce the thermodynamics of asymptotically AdS rotating black branes with flat horizon of these class of solutions and I calculate the finite action by use of the counterterm method inspired by AdS/CFT correspondence.