Gaussian black holes in Rastall Gravity

TL;DR

This paper derives a black hole solution in Rastall gravity with a Gaussian matter source, showing it is regular without singularities and leaves a remnant after Hawking radiation, similar to other regular black holes in GR.

Contribution

It provides a new regular black hole solution in Rastall gravity sourced by Gaussian matter distribution, highlighting its non-singular nature and thermodynamic properties.

Findings

No curvature singularity in the solution

Black hole leaves a massive remnant after Hawking radiation

Shares features with other regular black holes in GR

Abstract

In this short note we present the solution of Rastall gravity equations sourced by a Gaussian matter distribution. We find that the black hole metric shares all the common features of other regular, General Relativity BH solutions discussed in the literature: there is no curvature singularity and the Hawking radiation leaves a remnant at zero temperature in the form of a massive ordinary particle.