Exact solutions of Lovelock-Born-Infeld black holes
Abstract
The exact five-dimensional charged black hole solution in Lovelock gravity coupled to Born-Infeld electrodynamics is presented. This solution interpolates between the Hoffmann black hole for the Einstein-Born-Infeld theory and other solutions in the Lovelock theory previously studied in the literature. It is shown how the conical singularity of the metric around the origin can be removed by a proper choice of the black hole parameters. The differences existing with the Reissner-Nordström black holes are discussed. In particular, we show the existence of charged black holes with a unique horizon.
- Publication:
-
Physical Review D
- Pub Date:
- November 2004
- DOI:
- 10.1103/PhysRevD.70.104014
- arXiv:
- arXiv:gr-qc/0408078
- Bibcode:
- 2004PhRvD..70j4014A
- Keywords:
-
- 04.50.+h;
- 03.50.Kk;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Other special classical field theories;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 9 pages, 7 figures, Revtex. Extended version of the paper published in Phys. Rev. D