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Noncommutative geometry-inspired dirty black holes. (English) Zbl 1184.83013

Summary: We provide a new exact solution of the Einstein equations which generalize the noncommutative geometry-inspired Schwarzschild metric, we previously obtained. We consider here a more general relation between the energy density and the radial pressure and find new geometries describing a regular ’dirty black hole’. We discuss strong and weak energy condition violation and various aspects of the regular dirty black hole thermodynamics.

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83C57 Black holes
83C65 Methods of noncommutative geometry in general relativity
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