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Chaos in black holes surrounded by gravitational waves

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arxiv gr-qc/9706025 v1 pith:VG5MCBF3 submitted 1997-06-10 gr-qc chao-dynnlin.CD

P.S. Letelier , W. M. Vieira This is my paper · ORCID
classification gr-qcchao-dynnlin.CD
keywords blackchaosgravitationalholesmethodwavesapplicationaround
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The occurrence of chaos for test particles moving around Schwarzschild black holes perturbed by a special class of gravitational waves is studied in the context of the Melnikov method. The explicit integration of the equations of motion for the homoclinic orbit is used to reduce the application of this method to the study of simple graphics.

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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 motion of particles around a Schwarzschild black hole in a swirling electromagnetic background

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Numerical chaos indicators applied to the Schwarzschild-Bertotti-Robinson-Bonnor-Melvin family show that chaos occurs without swirling and that electromagnetic field strengths and directions tightly restrict bound orbits.

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