Regular hairy black holes through Minkowski deformation

TL;DR

This paper introduces new regular black hole solutions with scalar hair by deforming Minkowski spacetime, satisfying energy conditions and avoiding singularities, using gravitational decoupling methods.

Contribution

It presents a novel approach to constructing regular black holes with scalar hair through Minkowski spacetime deformation and gravitational decoupling.

Findings

Found hairy black hole solutions free of curvature singularities.

Deformation of Minkowski spacetime yields Schwarzschild and Kerr solutions as limits.

Solutions satisfy weak energy condition and have well-defined horizons.

Abstract

Static and stationary regular black holes are examined under a minimal set of requirements consisting of (i) the existence of a well defined event horizon and (ii) the weak energy condition for matter sourcing the geometry. We perform our analysis by means of the gravitational decoupling approach and find hairy solutions free of curvature singularities. We identify the matter source producing a deformation of the Minkowski vacuum such that the maximum deformation is the Schwarzschild solution for the static case, and the Kerr metric for the stationary case.