A model of regular black hole satisfying the Weak Energy Condition

TL;DR

This paper presents a model of a regular black hole that satisfies the Weak Energy Condition, contrasting symmetric and dark energy frameworks, and demonstrating the existence of such black holes within the dark energy scenario.

Contribution

It introduces a specific regular black hole model that adheres to the Weak Energy Condition within a dark energy framework, which was not previously established.

Findings

Regular black hole satisfying WEC demonstrated

Symmetric framework cannot produce black holes under these conditions

Dark energy framework allows for regular black hole solutions

Abstract

In this article we discuss a star generated by some matter fluid, whose stress-energy tensor is known. We investigate both the maximally symmetric framework, where all the pressures are equal, and the dark energy framework, with $P = -\rho$. We show that the first one is not able to produce a black hole, while second one actually is. Finally, within this second framework, we present an example of regular black hole, showing it satisfies the NEC and the WEC.