Four-dimensional black holes with scalar hair in nonlinear electrodynamics

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.

Published in EPJC

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Cited by in corpus (9)

• Superradiant Instability of Near Extremal and Extremal Four-Dimensional Charged Hairy Black Hole in anti-de Sitter Spacetime
• Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Quark-antiquark confinement and nonlinear electrodynamics
• Einstein-non-linear Maxwell-Yukawa black hole
• Motion of particles around a magnetically charged Euler-Heisenberg black hole with scalar hair and the Event Horizon Telescope
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source