Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair

Abstract

We study the Einstein-Euler-Heisenberg theory in the presence of a self interacting scalar field, minimally coupled to gravity. We solve analytically the field equations for the magnetically charged case and we obtain novel magnetically charged hairy black holes. The scalar field dresses the black hole with a secondary scalar hair. The hairy black hole develops three horizons when Euler-Heisenberg parameter and the magnetic charge are small and the horizon radius is getting large when the scalar charge and the gravitational mass are large. The presence of matter and the magnetic field outside the horizon of the black hole increases the temperature only for small black holes. Calculating the heat capacity we show that the asymptotically AdS Euler-Heisenberg hairy black hole undergoes a second order phase transition and then it is stabilized. Also the weak energy condition is violated for the asymptotically AdS Euler-Heisenberg hairy black hole.

Some typos corrected, accepted for publication in PRD

References in corpus (20)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Black holes with non-minimal derivative coupling
• Black holes with scalar hair in light of the Event Horizon Telescope
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Charged Galileon black holes
• Electrically charged black hole with scalar hair
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Thermodynamics of the Euler-Heisenberg-AdS black hole
• Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
• Birefringence and QuasiNormal Modes of the Einstein-Euler-Heisenberg Black Hole
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential
• Analytic topological hairy dyonic black holes and thermodynamics
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Extremal Hairy Black Holes
• Instability and no-hair paradigm in d-dimensional charged-AdS black holes
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity