Regular Schwarzschild black holes and cosmological models

TL;DR

This paper investigates regular Schwarzschild black holes with de Sitter cores and explores their implications for non-singular cosmological models, revealing new extremal solutions and Kantowski-Sachs universes.

Contribution

It introduces two parameterized families of regular Schwarzschild solutions with de Sitter cores and analyzes their role in non-singular cosmological models.

Findings

Existence of extremal black hole configurations with close horizons.

Regular solutions contain a de Sitter condensate at the core.

Cosmological models derived from these solutions are singularity-free Kantowski-Sachs universes.

Abstract

We study regular Schwarzschild black holes in General Relativity as an alternative to the singular counterpart. We analyze two types of solutions which are completely parameterised by the ADM mass alone. We find that both families of regular solutions contain a de Sitter condensate at the core and admit (quasi) extremal black hole configurations in which the two horizons are arbitrarily close. Cosmological models based on these regular configurations are also analyzed, finding that they describe non-trivial Kantowski-Sachs universes free of singularities.