Hoffmann-Infeld black hole solutions in Lovelock gravity

MATÍAS AIELLO; RAFAEL FERRARO; GASTÓN GIRIBET

CLASSICAL AND QUANTUM GRAVITY

IOP Publishing Ltd.

Lugar: Bristol, England; Año: 2005 vol. 22 p. 2579 - 2588

0264-9381

Abstract. Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann–Infeld nonlinear electrodynamics. It is shown that some of these solutions present a double peak behaviour of the temperature as a function of the horizon radius. This feature suggests that the evaporation process, though drastic for a period, leads to an eternal black-hole remnant. In fact, the form of the caloric curve corresponds to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The geometrical aspects, such as the absence of conical singularity, the structure of horizons, etc are also discussed. In particular, solutions that are asymptotically AdS arise for special choices of the parameters, corresponding to charged solutions of five-dimensional Chern–Simons gravity