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Timescales of the chaos onset in the general relativistic Poynting-Robertson effect

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arxiv 2105.00965 v1 pith:UNOPC6Y6 submitted 2021-05-03 gr-qc astro-ph.HEhep-thmath-phmath.MP

Vittorio De Falco , William Borrelli This is my paper · ORCID
classification gr-qcastro-ph.HEhep-thmath-phmath.MP
keywords chaoseffectgeneralonsetpoynting-robertsonrelativisticanalysesastrophysical
verification ladder T0 review T1 audit T2 compute T3 formal
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It has been proved that the general relativistic Poynting-Robertson effect in the equatorial plane of Kerr metric shows a chaotic behavior for a suitable range of parameters. As a further step, we calculate the timescale for the onset of chaos through the Lyapunov exponents, estimating how this trend impacts on the observational dynamics. We conclude our analyses with a discussion on the possibility to observe this phenomenon in neutron star and black hole astrophysical sources.

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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 orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.

  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 of dark matter in extreme mass-ratio inspirals

    gr-qc 2026-02 reject novelty 4.0 of 10

    A toy model shows that adding a hand-made angle-dependent force to dark-matter spacetimes produces visual chaos and irregular numerical-Kludge waveforms, but the force is not a realistic dark-matter perturbation.

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