Quantum-corrected black hole thermodynamics to all orders in the Planck length

Details Quantum-corrected black hole thermodynamics to all orders in the Planck length Quantum-corrected black hole thermodynamics to all orders in the Planck length

2007-04-10

arxiv.org/abs/0704.1261v1

Phys.Lett.B646:63-71,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 4 figures, 2 tables, Latex

Scientific paper

10.1016/j.physletb.2006.12.072

We investigate the effects to all orders in the Planck length from a generalized un- certainty principle (GUP) on black holes thermodynamics. We calculate the corrected Hawking temperature, entropy, and examine in details the Hawking evaporation process. As a result, the evaporation process is accelerated and the evaporation end-point is a zero entropy, zero heat capacity and finite non zero temperature black hole remnant (BHR). In particular we obtain a drastic reduction of the decay time, in comparison with the results obtained in the Hawking semi classical picture and with the GUP to leading order in the Planck length.

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