A model of radiating black hole in noncommutative geometry. (English) Zbl 1081.83020

Nicolini, Piero

J. Phys. A, Math. Gen. 38, No. 39, L631-L638 (2005).

Summary: The phenomenology of a radiating Schwarzschild black hole is analysed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus, we legitimately introduce noncommutativity in the weak field limit by a coordinate coherent state approach. The new interesting results are the following: (i) the existence of a minimal nonzero mass to which black hole can shrink; (ii) a finite maximum temperature that the black hole can reach before cooling down to absolute zero; (iii) the absence of any curvature singularity. The proposed scenario offers a possible solution to conventional difficulties when describing the terminal phase of black hole evaporation.

MSC:

83C57	Black holes
83C60	Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
83C65	Methods of noncommutative geometry in general relativity