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

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.


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
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