Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity

Details Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity

2005-02-14

arxiv.org/abs/gr-qc/0502069v2

Class.Quant.Grav.22:2579-2588,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 5 figures, Revtex4. References added and comments clarified; version accepted for publication

Scientific paper

10.1088/0264-9381/22/13/004

Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld non-linear electrodynamics. It is shown that some of these solutions present a double peak behavior of the temperature as a function of the horizon radius. This feature implies that the evaporation process, though drastic for a period, leads to an eternal black hole remnant. Moreover, 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.

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