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Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy

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arxiv 1606.07281 v1 pith:VMH6VAHI submitted 2016-06-23 gr-qc

Ernesto Contreras , Fabián D. Villalba , Pedro Bargueño This is my paper · ORCID
classification gr-qc
keywords bekenstein-hawkingblackentropygeneralizedgeometriesholeprincipleuncertainty
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In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position, a singularity at the Planck scale is found. Finally, these geometries are shown to be realized by certain model of nonlinear electrodynamics, which resembles previously studied regular black hole solutions.

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  1. 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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