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Noncommutativity and logarithmic correction to the black hole entropy

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arxiv 2209.07168 v3 pith:5XK242IA submitted 2022-09-15 hep-th gr-qc

Kumar S. Gupta , Tajron Jurić , An{j̣elo Samsarov , Ivica Smolić This is my paper · ORCID
classification hep-thgr-qc
keywords effectsblackcorrectionsentropyholelogarithmicnoncommutativecorrection
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abstract

We study the noncommutative corrections to the entropy of the Reissner-Nordstr\"{o}m black hole using a $\kappa$-deformed scalar probe within the brick-wall framework. The noncommutativity is encoded in an Abelian Drinfeld twist constructed from the Killing vector fields of the Reissner-Nordstr\"{o}m black hole. We show that the noncommutative effects naturally lead to a logarithmic correction to the Bekenstein-Hawking entropy even at the lowest order of the WKB approximation. In contrast, such logarithmic corrections in the commutative setup appear only after the quantum effects are included through higher order WKB corrections or through higher loop effects. Our analysis thus provides further evidence towards the hypothesis that the noncommutative framework is capable of encoding quantum effects in curved spacetime.

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Cited by 3 Pith papers

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  1. Corrections to Kerr-Newman black hole from Noncommutative Einstein-Maxwell equation

    gr-qc 2025-02 reject novelty 6.0 of 10

    The author states that a specific deformed Kerr-Newman metric and Seiberg-Witten modified potential solve the noncommutative Einstein-Maxwell equations to first order in the noncommutativity parameter, without showing...

  2. Hawking area law in quantum gravity

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    If Hawking's area law is taken as exact, nonlocal and Stelle quantum-gravity theories are forced to drop R^2 and (Riemann)^2 terms (or use singular Ricci-flat black holes), and the standard entropy-area law follows as...

  3. Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

    gr-qc 2026-07 reject novelty 4.0 of 10

    For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.

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