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

Abstract

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.

20 pages, 4 figures, 2 tables, Latex

References in corpus (1)

• Coherent States of Harmonic Oscillator and Generalized Uncertainty Principle

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• Modified clock inequalities and modified black hole lifetime
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