Aspects of noncommutative (1+1)-dimensional black holes

Details Aspects of noncommutative (1+1)-dimensional black holes Aspects of noncommutative (1+1)-dimensional black holes

2011-04-20

arxiv.org/abs/1104.4120v3

Phys.Rev.D84:044020,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 12 figures, some comments added, conclusions not modified, version matching that published on PRD

Scientific paper

10.1103/PhysRevD.84.044020

We present a comprehensive analysis of the spacetime structure and thermodynamics of $(1+1)-$dimensional black holes in a noncommutative framework. It is shown that a wider variety of solutions are possible than the commutative case considered previously in the literature. As expected, the introduction of a minimal length $\sqrt{\theta}$ cures singularity pathologies that plague the standard two-dimensional general relativistic case, where the latter solution is recovered at large length scales. Depending on the choice of input parameters (black hole mass $M$, cosmological constant $\Lambda$, etc...), black hole solutions with zero, up to six, horizons are possible. The associated thermodynamics allows for the either complete evaporation, or the production of black hole remnants.

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