Reissner-Nordstrom black hole in noncommutative spaces

TL;DR

This paper explores the properties of non-commutative Reissner-Nordstrom black holes, revealing a minimal mass, maximum temperature, and absence of singularities, with implications for black hole thermodynamics and stability.

Contribution

It introduces a detailed analysis of non-commutative charged black holes, highlighting new thermodynamic behaviors and bounds on non-commutativity parameters.

Findings

Existence of a minimal non-zero mass for black holes

Finite maximum temperature before cooling to absolute zero

Charge increases minimal mass and lowers maximum temperature

Abstract

We investigate the behaviour of a non-commutative radiating Reissner-Nordstrom(Re-No)black hole. We find some interesting results : a). the existence of a minimal non-zero mass to which the black hole can shrink. b). a finite maximum temperature that the black hole can reach before cooling down to absolute zero. c) compared to the neutral black holes the effect of charge is to increase the minimal non-zero mass and lower the maximum temperature. d) the absence of any curvature singularity. We also derive some essential thermodynamic quantities from which we study the stability of the black hole. Finally we find an upper bound for the non-commutativity parameter $\theta$.