Entropy of an extremal regular black hole
arXiv:0705.2478 · doi:10.1016/j.physletb.2007.12.007
Abstract
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 . 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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