Can extended bodies follow geodesic trajectories?
Abstract
We provide an extension of the analysis on whether an extended test body can follow a geodesic trajectory given by Mukherjee, S., Lukes-Gerakopoulos, G. and Nayak, R. K. (2022), Extended bodies moving on geodesic trajectories, General Relativity and Gravitation, 54(9), 113, arXiv: 1907.05659. In particular, we consider a test body in a pole-dipole-quadrupole approximation under the Ohashi-Kyrian-Semer\'{a}k 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 take place also 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 independently.
Keywords
Cite
@article{arxiv.2311.14040,
title = {Can extended bodies follow geodesic trajectories?},
author = {Georgios Lukes-Gerakopoulos and Sajal Mukherjee},
journal= {arXiv preprint arXiv:2311.14040},
year = {2023}
}
Comments
8 pages, Proceedings of RAGtime 23-25, Edited by Z. Stuchl\'{i}k, G. T\"{o}r\"{o}k , V. Karas and D. Lan\v{c}ov\'{a}, Silesian University in Opava