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Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole

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arxiv 2109.00330 v2 pith:NDOGE2VD submitted 2021-09-01 gr-qc hep-thnlin.CD

Avijit Bera , Surojit Dalui , Subir Ghosh , Elias C. Vagenas This is my paper · ORCID
classification gr-qchep-thnlin.CD
keywords metricparticleblackcorrectionsholequantumbehaviorchaos
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The paper is devoted to a detailed study of the effects of quantum corrections on the chaotic behavior in the dynamics of a (massless) probe particle near the horizon of a generalized Schwarzschild black hole. Two possible origins inducing the modification of black hole metric are considered separately; the noncommutative geometry inspired metric (suggested by Nicolini, Smailagic and Spallucci) and the metric with quantum field theoretic corrections (derived by Donoghue). Our results clearly show that in both cases, the metric extensions favour chaotic behavior, namely chaos is attained for relatively lower particle energy. This is demonstrated numerically by exhibiting the breaking of the KAM tori in Poincar\'e sections of particle trajectories and also via explicit computation of the (positive) Lyapunov exponents of the trajectories.

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Cited by 4 Pith papers

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

  1. Chaotic particle dynamics near a traversable wormhole throat

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Confined test particles near a wormhole throat show high-energy chaos coexisting with surviving KAM tori, in contrast to horizon-driven chaos in black holes.

  2. Bounds for Lyapunov exponent of circular light orbits in black holes

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For any static, spherically symmetric black hole obeying Einstein's equations and the dominant energy condition, the circular photon orbit's Lyapunov exponent is bounded by the photon-sphere surface gravity, the Unruh...

  3. Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos

    gr-qc 2025-11 conditional novelty 5.0 of 10

    A Schwarzschild black hole embedded in a Dehnen dark-matter halo admits homoclinic orbits, and raising halo density, scale radius, or particle energy drives near-horizon motion from regular to chaotic while respecting...

  4. Chaotic Imprints in Gravitational Waves from Conformal-Anomaly-Corrected Extreme-Mass-Ratio Inspirals

    gr-qc 2026-07 reject novelty 4.0 of 10

    Gravitational-wave imprints are computed for trapped orbits in a conformal-anomaly-corrected black hole spacetime, but the chaotic motion is produced by an external harmonic potential rather than the anomaly itself.

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