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Black hole thermodynamics to all orders in the Planck length in extra dimensions. (English) Zbl 1130.83317

Summary: 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.

MSC:

83C57 Black holes
83E15 Kaluza-Klein and other higher-dimensional theories
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