A regular scale-dependent black hole solution

TL;DR

This paper introduces a new regular black hole solution within scale-dependent General Relativity, which satisfies energy conditions and extends the classical Schwarzschild solution semiclassically.

Contribution

It presents a novel regular black hole solution derived from scale-dependent gravity, incorporating anisotropic energy-momentum and satisfying weak energy conditions.

Findings

The solution is regular and satisfies the weak energy condition.

It extends Schwarzschild black hole semiclassically.

The source involves an anisotropic effective energy-momentum tensor.

Abstract

In this work, we present a regular black hole solution, in the context of scale-dependent General Relativity, satisfying the weak energy condition. The source of this solution is an anisotropic effective energy-momentum tensor which appears when the scale dependence of the theory is turned-on. In this sense, the solution can be considered as a semiclassical extension of the Schwarzschild one.