Reissner-Nordstrom black hole in noncommutative spaces

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 $\theta$.