English

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

General Relativity and Quantum Cosmology 2015-03-19 v3 High Energy Physics - Theory

Abstract

We present a comprehensive analysis of the spacetime structure and thermodynamics of (1+1)(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 θ\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 MM, cosmological constant Λ\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.

Keywords

Cite

@article{arxiv.1104.4120,
  title  = {Aspects of noncommutative (1+1)-dimensional black holes},
  author = {Jonas R. Mureika and Piero Nicolini},
  journal= {arXiv preprint arXiv:1104.4120},
  year   = {2015}
}

Comments

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