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arXiv · 1603.05571

Four-dimensional black holes with scalar hair in nonlinear electrodynamics

José O. Barrientos·P. A. González·Yerko Vásquez
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Abstract

We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and a U(1) nonlinear electromagnetic field. Solving analytically and numerically the coupled system for both power-law and Born-Infeld type electrodynamics, we find charged hairy black hole solutions. Then, we study the thermodynamics of these solutions and we find that at a low temperature the topological charged black hole with scalar hair is thermodynamically preferred, whereas the topological charged black hole without scalar hair is thermodynamically preferred at a high temperature for power-law electrodynamics. Interestingly enough, these phase transitions occur at a fixed critical temperature and do not depend on the exponent $p$ of the nonlinearity electrodynamics.

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José O. Barrientos, P. A. González, Yerko Vásquez. 2016-12-12. Four-dimensional black holes with scalar hair in nonlinear electrodynamics. https://doi.org/10.1140/epjc%2Fs10052-016-4526-6

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