1206.4738 (W. G. Brenna et al.)

Quasi-topological Reissner-Nordström Black Holes    [PDF]

W. G. Brenna, R. B. Mann

We consider Reissner-Nordstr\"om 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.

View original: http://arxiv.org/abs/1206.4738