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.


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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