Gravitational decoupling for hairy black holes in asymptotically AdS spacetimes

TL;DR

This paper uses gravitational decoupling via extended geometric deformation to derive analytical hairy black hole solutions in asymptotically AdS spacetimes, revealing anisotropic fluid properties under energy conditions.

Contribution

It introduces a novel application of gravitational decoupling to generate hairy black hole solutions in AdS spacetime, satisfying energy conditions.

Findings

Hairy black hole solutions in asymptotic AdS spacetime are derived.

The solutions satisfy strong and dominant energy conditions.

Fluid systems in these spacetimes are anisotropic.

Abstract

In this study, the gravitational decoupling approach via extended geometric deformation is utilized to generate analytical black hole solutions owing to its simplicity and effectiveness. Considering the external fields surrounding Schwarzschild AdS black holes, we derive hairy black hole solutions in asymptotic AdS spacetime, satisfying the strong and dominant energy conditions. Moreover, we find that if the black hole spacetime is a fluid system, the fluid under each of these conditions is anisotropic.