Regular black holes and energy conditions

TL;DR

This paper explores how regular black holes violate certain energy conditions within their structure, linking the nature of these violations to the black holes' static and dynamic regions.

Contribution

It establishes a detailed relationship between the spacetime structure of regular black holes and the violation of energy conditions, highlighting the role of the Tolman mass and perfect fluid constraints.

Findings

SEC is violated inside static regions of regular black holes.

Negative Tolman mass occurs within these static regions.

Violation of the dominant energy condition in non-static regions.

Abstract

We establish the relationship between the space-time structure of regular spherically-symmetrical black holes and the character of violation of the strong energy condition (SEC). It is shown that it is violated in any static region under the event horizon in such a way that the Tolman mass is negative there. In non-static regions there is constraint of another kind which, for a perfect fluid, entails violation of the dominant energy condition.