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Chaotic dynamics of pulsating spheres orbiting black holes

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arxiv 2409.14667 v1 pith:NGZ7BJLL submitted 2024-09-23 gr-qc nlin.CD

Fernanda de F. Rodrigues , Ricardo A. Mosna , Ronaldo S. S. Vieira This is my paper · ORCID
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keywords chaoticblackbodiesclassdynamicsextendedholesmotion
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We study the chaotic dynamics of spinless extended bodies in a wide class of spherically symmetric spacetimes, which encompasses black-hole scenarios in many modified theories of gravity. We show that a spherically symmetric pulsating ball may have chaotic motion in this class of spacetimes. The cases of the Reissner-Nordstr{\"o}m and Ay{\'o}n-Beato-Garc{\'i}a black holes are analyzed in detail. The equations of motion for the extended bodies are obtained according to Dixon's formalism, up to quadrupole order. Then, we use Melnikov's method to show the presence of homoclinic intersections, which imply chaotic behavior, as a consequence of our assumption that the test body has an oscillating radius.

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Cited by 2 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. 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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