Original title:
Can extended bodies follow geodesic trajectories?
Authors:
Lukes-Gerakopoulos, Georgios ; Mukherjee, Sajal Document type: Papers Conference/Event: RAGtime /23.-25./, Opava (CZ), 20231127
Year:
2023
Language:
eng Abstract:
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.
Keywords:
black holes; chaos; Mathisson–Papapetrou–Dixon equations; particle dynamics Project no.: LQ100032102 (CEP) Funding provider: AV ČR Host item entry: Proceedings of RAGtime 23/25: Workshops on black holes and neutron stars, ISBN 978-80-7510-577-6