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

Abstract

In this work we construct a static and spherically symmetric black hole geometry supported by a family of generic mono-parametric sources thorough the Gravitational Decoupling. The parameter characterizing the matter sector can be interpreted as hair which cannot be associated to any global charge. Although the solution is constructed by demanding the weak energy condition, we find that the resulting matter sector satisfies all the energy conditions at and outside the horizon. We study the effect of the hair on the periastron advance and the gravitational lensing of the black hole. We estimate the best WKB order to compute the quasinormal frequencies for scalar, vector and tensor perturbation fields.

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

“…In this section, we shall present a comprehensive overview of the hairy BH solution [70] within the framework of GD and its associated Einstein field equation by the following action…”

“…Now, we focus our attention on constructing a hairy BH solution [70] with the help of deforming metric seeds and satisfying the Weak Energy Condition (WEC) [71]. After some computations and simplification, we obtained the required AdS hairy BH solution [70], as follows:…”

“…This section deals with the thermodynamic potentials of the spherically symmetric AdS hairy BH within the context of GD [70]. It is essential to compute certain physical thermodynamic properties such as the mass of the BH, temperature, usual entropy, heat capacity and free energy at the horizon radius r H .…”

“…Yang et al [64] discussed the quasi-normal modes and greybody bounds of hairy BHs caused by GD. The study above inspired our investigation of the thermodynamic characteristics and critical phase transition of the hairy AdS BH [70]. The coupling constant was employed to investigate the stability and phase transition of BHs.…”

Accretion around a hairy black hole in the framework of gravitational decoupling theory

“…[43], and a novel solution of the hairy BH in asymptotically AdS space-time is presented in Ref. [44]. A BH solution was recently found in [45].…”