Noncommutative geometry inspired Schwarzschild black hole

TL;DR

This paper explores how noncommutative geometry modifies Schwarzschild black holes, leading to a regular core, a maximum temperature, and a zero-temperature extremal end-state, addressing issues in black hole evaporation.

Contribution

It demonstrates that noncommutative geometry removes singularities and predicts a finite maximum temperature and a regular core in Schwarzschild black holes.

Findings

No curvature singularity at the origin

Existence of a maximum temperature before cooling

Black hole ends as a zero temperature extremal object

Abstract

We investigate the behavior of a noncommutative radiating Schwarzschild black hole. It is shown that coordinate noncommutativity cures usual problems encountered in the description of the terminal phase of black hole evaporation. More in detail, we find that: the evaporation end-point is a zero temperature extremal black hole even in the case of electrically neutral, non-rotating, objects; there exists a finite maximum temperature that the black hole can reach before cooling down to absolute zero; there is no curvature singularity at the origin, rather we obtain a regular DeSitter core at short distance.