Near-Horizon Thermodynamics of Hairy Black Holes from Gravitational Decoupling

Abstract

The horizon structure and thermodynamics of hairy spherically symmetric black holes generated by the gravitational decoupling method are carefully investigated. The temperature and heat capacity of the black hole is determined, as well as how the hairy parameters affect the thermodynamics. This allows for an analysis of thermal stability and the possible existence of a remanent black hole. We also calculate the Hawking radiation corrected by the generalized uncertainty principle. We consider the emission of fermions and apply the tunneling method to the generalized Dirac equation. This shows that, despite the horizon location being the same as the Schwarzschild one for a suitable choice of parameters, the physical phenomena that occur near the horizon of both black holes are qualitatively different.

Quantum Hairy Black Hole Formation and Horizon Quantum Mechanics

“…The Gaussian wave function for ψ S scales as r 2 in the position space and leads to a Gaussian wave function in the momentum space, scaling as p 2 , naturally. Finally, since the dispersion relation relates p 2 with energy, we are able to have p |ψ S = ψ H (r H ) via (22). Hence, starting with a Gaussian wave function, we can describe a spherically symmetric massive particle at rest, such as…”

“…The famous no-hair theorem is not preserved outside the general relativity realm. These solutions lead to effects that are potentially detectable near the horizon of astrophysical black holes [20][21][22], or in quantum black holes' formation [23,24], and may provide hints for the quantum path.…”

Thermodynamical analysis with extended phase transition of AdS hairy black hole in gravitational decoupling theory

“…Recently, in the literature [67], a hairy BH solution was discovered to meet the strong and dominating energy criteria everywhere outside the horizon. The thermodynamics of [67] were thoroughly examined in [68] and a novel solution of the hairy BH in asymptotically AdS space-time was discovered in [69]. More recently, a regular hairy BH was constructed through the GD technique in [62].…”

A Static and Spherically Symmetric Hairy Black Hole in the Framework of the Gravitational Decoupling

“…In Ref. [68], the thermodynamics of [43] has been analyzed in detail and in Ref. [69] a new solution of hairy black hole in asymptotically AdS space–time have been found.…”