Regular black holes with asymptotically Minkowski cores

TL;DR

This paper introduces novel regular black hole models with Minkowski cores, simplifying core physics and utilizing special functions like Lambert W, differing from traditional models with de Sitter cores.

Contribution

The paper presents a new class of regular black holes with Minkowski cores, offering analytical simplicity and distinct physical features compared to existing models.

Findings

Models simplify core physics

Use of Lambert W function for solutions

Differences from traditional de Sitter core black holes

Abstract

Standard models of "regular black holes" typically have asymptotically de Sitter regions at their cores. Herein we shall consider novel "hollow" regular black holes, those with asymptotically Minkowski cores. The reason for doing so is twofold: First, these models greatly simplify the physics in the deep core, and second, one can trade off rather messy cubic and quartic polynomial equations for somewhat more elegant special functions such as exponentials and the increasingly important Lambert $W$ function. While these "hollow" regular black holes share many features with the Bardeen/Hayward/Frolov regular black holes there are also significant differences.