# Noncommutative geometry inspired black holes in Rastall gravity

## TL;DR

This paper explores noncommutative geometry inspired black holes within Rastall gravity, revealing differences from general relativity and identifying conditions for regular black holes and remnants.

## Contribution

It derives and analyzes NCBH solutions in Rastall gravity under different metrics, highlighting their properties and differences from GR counterparts.

## Key findings

- NCSBH in Rastall gravity is not regular and has at most one horizon.
- Black holes exhibit a finite maximal temperature and leave a point-like remnant.
- A regular NCBH solution is found with a specific metric ansatz and matter equation of state.

## Abstract

Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density. Taking a Schwarzschild-like metric ansatz, it is shown that the noncommutative geometry inspired Schwarzschild black hole (NCSBH) in Rastall gravity, unlike its counterpart in general relativity (GR), is not a regular black hole. It has at most one event horizon. After showing a finite maximal temperature, the black hole will leave behind a point-like massive remnant at zero temperature. Considering a more general metric ansatz and a special equation of state of the matter, we also find a regular NCBH in Rastall gravity, which has a similar geometric structure and temperature to that of NCSBH in GR.