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Black hole thermodynamics to all orders in the Planck length in extra dimensions

Khireddine Nouicer1

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We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle (GUP), on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimensions. We show that black holes in this framework are hotter, have fewer degrees of freedom and decay faster compared to black holes in the Hawking picture and in the framework with GUP to leading order in the Planck length. Particularly, we show that the final stage of the evaporation process is a black hole remnant with zero entropy, zero heat capacity and nonzero finite temperature. We finally compare our results with those obtained in the standard Hawking picture and with the GUP to leading order in the Planck length.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.50.-h Higher-dimensional gravity and other theories of gravity

04.60.-m Quantum gravity

MSC

83C45 Quantization of the gravitational field

83E15 Kaluza-Klein and other higher-dimensional theories

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 23 (7 December 2007)

Received 20 July 2007, in final form 9 October 2007

Published 21 November 2007


A Corrigendum for this article has been published in 2007 Class. Quantum Grav. 24 6435


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