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arXiv · 2311.14040

Can extended bodies follow geodesic trajectories?

Georgios Lukes-Gerakopoulos·Sajal Mukherjee
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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.

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Georgios Lukes-Gerakopoulos, Sajal Mukherjee. 2023-11-23. Can extended bodies follow geodesic trajectories?. https://arxiv.org/abs/2311.14040

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