On static and rotating decoupled black holes without inner horizons

TL;DR

This paper introduces a new family of static and rotating black holes without inner horizons, derived via gravitational decoupling, extending known solutions like Schwarzschild and Reissner-Nordstrom with modified singularity structures.

Contribution

It develops a novel method to generate black hole solutions without Cauchy horizons using extended minimal geometric deformation and gravitational decoupling.

Findings

Black holes without inner (Cauchy) horizons are constructed.

The solutions include static and rotating cases with modified singularities.

The models encompass known black holes as special cases.

Abstract

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special cases, the Schwarzschild, Schwarzschild-dS, Reissner-Nordstrom and Reissner-Nordstrom-dS black holes. Assuming the Kerr-Schild condition and a general equation of state, the unknown matter sector is solved given rise to black hole space-times without a Cauchy horizon, transforming the original time-like singularity of the Reissner-Nordstrom and Reissner-Nordstrom-dS black holes into a space-like singularity. This fact is preserved for the rotating version of all these solutions.