Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources

TL;DR

This paper reviews models of black holes with regular centers, discusses their properties, and analyzes a recent solution involving Gaussian sources, highlighting the violation of the strong energy condition.

Contribution

It provides a comprehensive review of existing regular black hole models and introduces a recent solution with Gaussian sources, emphasizing the energy condition violations.

Findings

Regular black hole models can have a regular center.

The recent solution involves Gaussian sources.

Violation of the strong energy condition is necessary.

Abstract

We review, in a historical perspective, some results about black hole spacetimes with a regular center. We then see how their properties are realized in a specific solution that recently appeared; in particular we analyze in detail the (necessary) violation of the strong energy condition.