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arXiv · 1402.2922

On the stability of black holes with nonlinear electromagnetic fields

Nora Bretón·Santiago Esteban Perez Bergliaffa
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Abstract

The stability of three static and spherically symmetric black hole solutions with nonlinear electromagnetism as a source is investigated in three different ways. We show that the specific heat of all the solutions displays an infinite discontinuity with a change of sign, but the turning point method indicates that the solutions are thermodynamically stable (much in the same way as in the case of the Reissner-Nordstrom geometry). We also show that the black holes analyzed here are dynamically stable, thus suggesting that there may be a relation between thermodynamical and dynamical stability for nonvacuum black holes.

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Nora Bretón, Santiago Esteban Perez Bergliaffa. 2014-02-12. On the stability of black holes with nonlinear electromagnetic fields. https://arxiv.org/abs/1402.2922

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