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Phys. Rev. D 70, 104014 (2004) [7 pages]

Exact solutions of Lovelock-Born-Infeld black holes

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Matías Aiello1,*, Rafael Ferraro1,2,†, and Gastón Giribet1,3,‡
1Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
2Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
3Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA

Received 24 August 2004; published 11 November 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.104014
DOI:
10.1103/PhysRevD.70.104014
PACS:
04.50.+h, 03.50.Kk

*Electronic address: aiello@iafe.uba.ar

Electronic address: ferraro@iafe.uba.ar

Electronic address: gaston@ias.edu