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Research PapersNo Access

MICROSCOPIC BLACK HOLE AND UNCERTAINTY PRINCIPLE WITH MINIMAL LENGTH AND MOMENTUM

M. M. STETSKO

Department of Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., Lviv, UA-79005, Ukraine

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https://doi.org/10.1142/S0217751X13500292Cited by:5 (Source: Crossref)

Abstract

We investigate a microscopic black hole in the 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 the incorporation of minimal uncertainty in momentum leads to minimal temperature of a black hole. Minimal temperature gives rise to appearance of a phase transition. Emission rate equation and black hole's evaporation time are also obtained.

Keywords:

PACS: 04.60.Bc, 04.70.Dy

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Vol. 28, No. 10

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History

Received 9 January 2013

Accepted 24 February 2013

Published: 2 April 2013

Keywords