Can extended bodies follow geodesic trajectories?

0581798 - ASÚ 2024 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Lukes-Gerakopoulos, Georgios - Mukherjee, Sajal
Can extended bodies follow geodesic trajectories?
Proceedings of RAGtime 23/25: Workshops on black holes and neutron stars. Opava: Silesian University, 2023, s. 67-74. 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
Program: Prémie Lumina quaeruntur
Institucionální podpora: RVO:67985815
Klíčová slova: Mathisson–Papapetrou–Dixon equations * particle dynamics * black holes * chaos
Obor OECD: Astronomy (including astrophysics,space science)
https://proceedings.physics.cz/wp-content/uploads/2024/01/RAGtime25_online_final.pdf

We provide an extension of the analysis on whether an extended test body can follow a geodesic trajectory given by Mukherjee et al. (2022). In particular, we consider a test body in a pole-dipole-quadrupole approximation under the Ohashi-Kyrian-Semer´ak spin supplementary condition moving in the Schwarzschild and Kerr background. Using orbital setups under which a pole-dipole body can follow geodesic motion, we explore under which conditions this can also take place in the pole-dipole-quadrupole approximation when only the mass quadrupole is taken into account. For our analysis, we employ the assumption that the dipole contribution and the quadrupole contribution vanish independentlly.
Trvalý link: https://hdl.handle.net/11104/0349942