Entropy of an extremal regular black hole

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We introduce a magnetically charged extremal regular black hole in the coupled system of Einstein gravity and nonlinear electrodynamics. Its near horizon geometry is given by $AdS_2\times S^2$. It turns out that the entropy function approach does not automatically lead to a correct entropy of the Bekenstein-Hawking entropy. This contrasts to the case of the extremal Reissner-Norström black hole in the Einstein-Maxwell theory. We conclude that the entropy function approach does not work for a magnetically charged extremal regular black hole without singularity, because of the nonlinearity of the entropy function.
17 Pages, 4 figures, version to appear in Phys. Lett. B

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General Relativity and Quantum Cosmology, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/192589

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.2478
 http://arxiv.org/abs/0705.2478
 Phys.Lett.B659:832-838,2008
 doi:10.1016/j.physletb.2007.12.007

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arXiv