Quasi-topological Reissner-Nordstr\"om Black Holes

TL;DR

This paper derives exact charged black hole solutions in quasi-topological gravity, analyzes their thermodynamics and stability, and explores how the quasi-topological parameter influences horizon structure.

Contribution

It provides new exact solutions for charged black holes in quasi-topological gravity and examines their thermodynamic properties and stability conditions.

Findings

Negative quasi-topological parameter can produce black holes with two horizons at zero charge

Charged solutions exhibit stable thermodynamic behavior under certain parameters

Structure of exact solutions extends to higher-order quasi-topological gravity

Abstract

We consider Reissner-Nordstrom solutions in quasi-topological gravity, obtaining exact solutions to the field equations yielding charged quasi-topological black holes. We study their thermodynamic behaviour over a range of parameters that yield ghost-free and stable space times. We find that a sufficiently negative quasi-topological parameter can yield black holes with 2 horizons, even for zero charge. We discuss the thermodynamic stability for the class of solutions we obtain. We also describe the structure of exact charged solutions to $k^{th}$ order quasi-topological gravity.