Entropy of an extremal regular black hole

Details Entropy of an extremal regular black hole Entropy of an extremal regular black hole

2007-05-17

arxiv.org/abs/0705.2478v2

Phys.Lett.B659:832-838,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 Pages, 4 figures, version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.12.007

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-Norstr\"om 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.

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