English

Microscopic black hole and uncertainty principle with minimal length and momentum

General Relativity and Quantum Cosmology 2015-06-05 v2 High Energy Physics - Theory

Abstract

We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as temperature, entropy and heat capacity. It is shown that incorporation of minimal uncertainty in momentum leads to minimal temperature of a black hole similarly as we have for Schwarzschschild-AdS black hole without minimal uncertainty. Minimal temperature gives rise to Hawking-Page phase transition. Emission rate equation and black hole lifetime are also obtained.

Keywords

Cite

@article{arxiv.1205.3680,
  title  = {Microscopic black hole and uncertainty principle with minimal length and momentum},
  author = {M. M. Stetsko},
  journal= {arXiv preprint arXiv:1205.3680},
  year   = {2015}
}

Comments

13 pages, 4 figures