1205.3680 (M. M. Stetsko)

Microscopic black hole and uncertainty principle with minimal length and
momentum    [PDF]

M. M. Stetsko

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.

View original: http://arxiv.org/abs/1205.3680