Quasi-topological Reissner-Nordström Black Holes

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.

arXiv commentLaTeX, 16 pages, 9 figures; added references and corrected typos

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