A non commutative model for a mini black hole

Details A non commutative model for a mini black hole A non commutative model for a mini black hole

2009-02-19

arxiv.org/abs/0902.3481v3

Class.Quant.Grav.26:245006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 figures, bibliography enlarged, reference in the conclusion fixed, some typos corrected

Scientific paper

10.1088/0264-9381/26/24/245006

We analyze the static and spherically symmetric perfect fluid solutions of Einstein field equations inspired by the non commutative geometry. In the framework of the non commutative geometry this solution is interpreted as a mini black hole which has the Schwarzschild geometry outside the event horizon, but whose standard central singularity is replaced by a self-gravitating droplet. The energy-momentum tensor of the droplet is of the anisotropic fluid obeying a nonlocal equation of state. The radius of the droplet is finite and the pressure, which gives rise to the hydrostatic equilibrium, is positive definite in the interior.

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