Regular hairy black holes through gravitational decoupling method

TL;DR

This paper introduces a method using gravitational decoupling to construct non-singular hairy black holes that satisfy energy conditions and can resemble Schwarzschild or Kerr geometries.

Contribution

It presents a novel approach to generate regular hairy black hole solutions via gravitational decoupling, extending the class of known black hole models.

Findings

Constructed non-singular hairy black hole solutions with spherical or axial symmetry.

Demonstrated that maximum deformation yields Schwarzschild or Kerr geometries.

Ensured solutions satisfy the weak energy condition.

Abstract

Within a framework requiring a well-defined event horizon and matter obeying the weak energy condition, we employ gravitational decoupling method to construct non-singular hairy black holes: spherically or axially symmetric. These solutions arise from a deformation of the Minkowski vacuum, where the maximum deformation can yield the Schwarzschild metric for the static case, and the Kerr geometry for the stationary case, respectively.