Regular hairy black holes by gravitational decoupling: Bardeen and Minkowski-core seeds

TL;DR

This paper develops two new families of regular hairy black holes using gravitational decoupling, exploring their horizon structures and energy conditions with specific seed profiles.

Contribution

It introduces novel regular black hole solutions generated from Bardeen and hollow seeds via gravitational decoupling, including rotating extensions.

Findings

Identified critical deformation strengths for different horizon structures.

Constructed Kerr-like rotating black hole solutions from static seeds.

Verified weak energy condition in the exterior region for the solutions.

Abstract

We construct two families of regular hairy black holes within gravitational decoupling using a fixed exponential deformation profile for an effective tensor-vacuum sector. The first family is generated from a Bardeen-type seed and produces a de Sitter-like core. The second family is generated from a hollow seed with an asymptotically Minkowski core so that the central density vanishes and no de Sitter core is produced. For each branch we determine the critical deformation strengths separating horizonless, extremal, and two-horizon geometries in the static case, and we obtain the corresponding Kerr-like rotating extension by promoting the mass parameter to the deformed mass function. Representative parameter choices are used to illustrate the horizon structure and to verify the weak energy condition in the exterior region.