Noncommutative geometry inspired dirty black holes

TL;DR

This paper introduces a new exact solution to Einstein's equations inspired by noncommutative geometry, describing a regular 'dirty black hole' with generalized energy conditions and thermodynamic properties.

Contribution

It extends previous noncommutative geometry inspired black hole models by deriving a more general solution with novel energy and pressure relations.

Findings

The solution describes a regular black hole with no singularities.

It exhibits violations of strong and weak energy conditions.

The thermodynamics of the dirty black hole are analyzed in detail.

Abstract

We provide a new exact solution of the Einstein equations which generalizes the noncommutative geometry inspired Schwarzschild metric, we previously obtained. We consider here more general relations between the energy density and the radial pressure and find new a geometry describing a regular ``dirty black hole''. We discuss strong and weak energy condition violations and various aspects of the regular dirty black hole thermodynamics.