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

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arxiv 0706.2749 v3 pith:XJZW6F37 submitted 2007-06-19 gr-qc

classification gr-qc
keywords blackholeslengthplanckzeroextrageneralizedorders
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We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle, on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimesions. We show that black holes in this framework are hotter, decay faster and are less classical objects. Particularly, we show that the final stage of the radiation process is a black hole remnant with zero entropy, zero heat capacity and non zero finite temperature. We finally compare our results with the ones obtained in the standard Hawking picture and with the generalized uncertainty principle to leading order in the Planck length.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field

    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

  2. Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric

    gr-qc 2025-08 reject novelty 4.0 of 10

    With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.

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