Growth of orbital resonances around a black hole surrounded by matter

0581797 - ASÚ 2024 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Stratený, Michal - Lukes-Gerakopoulos, Georgios
Growth of orbital resonances around a black hole surrounded by matter.
Proceedings of RAGtime 23/25: Workshops on black holes and neutron stars. Opava: Silesian University, 2023, s. 29-39. Publications of the Institute of Physics, 10. ISBN 978-80-7510-577-6.
[RAGtime /23.-25./. Opava (CZ), 27.11.2023-01.12.2023]
Grant ostatní: AV ČR(CZ) LQ100032102; AV ČR(CZ) Prémie Lumina quaeruntur 2020
Program: Prémie Lumina quaeruntur
Institucionální podpora: RVO:67985815
Klíčová slova: geodesic motion * black holes * chaos
Obor OECD: Astronomy (including astrophysics,space science)
https://proceedings.physics.cz/wp-content/uploads/2024/01/RAGtime25_online_final.pdf

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.
Trvalý link: https://hdl.handle.net/11104/0349938