Non-commutative geometry inspired charged black holes

We find a new, non-commutative geometry inspired, solution of the coupled Einstein–Maxwell field equations describing a variety of charged, self gravitating objects, including extremal and non-extremal black holes. The metric smoothly interpolates between de Sitter geometry, at short distance, and Reissner-Nordstrøm geometry far away from the origin. Contrary to the ordinary Reissner-Nordstrøm spacetime there is no curvature singularity in the origin neither "naked" nor shielded by horizons. We investigate both Hawking process and pair creation in this new scenario.