Original title: Growth of orbital resonances around a black hole surrounded by matter
Authors: Stratený, Michal ; Lukes-Gerakopoulos, Georgios
Document type: Papers
Conference/Event: RAGtime /23.-25./, Opava (CZ), 20231127
Year: 2023
Language: eng
Abstract: This work studies the dynamics of geodesic motion within a curved spacetime around a Schwarzschild black hole, perturbed by a gravitational field of a far axisymmetric distribution of mass enclosing the system. This spacetime can serve as a versatile model for a diverse range of astrophysical scenarios and, in particular, for extreme mass ratio inspirals as in our work. We show that the system is non-integrable by employing Poincaré surface of section and rotation numbers. By utilising the rotation numbers, the widths of resonances are calculated, which are then used in establishing the relation between the underlying perturbation parameter driving the system from integrability and the quadrupole parameter characterising the perturbed metric. This relation allows us to estimate the phase shift caused by the resonance during an inspiral.
Keywords: black holes; chaos; geodesic motion
Project no.: LQ100032102 (CEP), Prémie Lumina quaeruntur 2020
Funding provider: AV ČR, AV ČR
Host item entry: Proceedings of RAGtime 23/25: Workshops on black holes and neutron stars, ISBN 978-80-7510-577-6

Institution: Astronomical Institute AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://proceedings.physics.cz/wp-content/uploads/2024/01/RAGtime25_online_final.pdf
Original record: https://hdl.handle.net/11104/0349938

Permalink: http://www.nusl.cz/ntk/nusl-538560


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Research > Institutes ASCR > Astronomical Institute
Conference materials > Papers