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Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP

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arxiv 2003.13464 v2 pith:P26RSOYQ submitted 2020-03-27 gr-qc hep-th

M.A. Anacleto , F.A. Brito , J.A.V. Campos , E. Passos This is my paper · ORCID
classification gr-qchep-th
keywords absorptionscatteringblackcorrectionsholequantumschwarzschildzero
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In this paper we have implemented quantum corrections for the Schwarzschild black hole metric using the generalized uncertainty principle (GUP) in order to investigate the scattering process. We mainly compute, at the low energy limit, the differential scattering and absorption cross section by using the partial wave method. We determine the phase shift analytically and verify that these quantities are modified by the GUP. We found that due to the quantum corrections from the GUP the absorption is not zero as the mass parameter goes to zero. A numerical analysis has also been performed for arbitrary frequencies.

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Cited by 1 Pith paper

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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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