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Non-perturbative correction on the black hole geometry

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arxiv 2403.07972 v1 pith:6R6R5RGK submitted 2024-03-12 gr-qc astro-ph.HEhep-th

classification gr-qcastro-ph.HEhep-th
keywords blackholenon-perturbativethermodynamicscorrectioncorrectionsentropyholes
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In this paper, we use the holographic principle to obtain a modified metric of black holes that reproduces the exponentially corrected entropy. The exponential correction of the black hole entropy comes from non-perturbative corrections. It interprets as a quantum effect which affects black hole thermodynamics especially in the infinitesimal scales. Hence, it may affect black hole stability at the final stage. Then, we study modified thermodynamics due to the non-perturbative corrections and calculate thermodynamics quantities of several non-rotating black holes.

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  1. Quantum Corrections and Extremality: A Generalized Universal Relation

    hep-th 2025-04 conditional novelty 4.0 of 10

    For any entropy function S(r_h), the Goon-Penco extremality ratio equals d(pi r_h^2)/dS, so the original relation survives only for the area law.

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