Extended bodies moving on geodesic trajectories

0562154 - ASÚ 2023 RIV CH eng J - Článek v odborném periodiku
Mukherjee, Sajal - Lukes-Gerakopoulos, Georgios - Nayak, R. K.
Extended bodies moving on geodesic trajectories.
General Relativity and Gravitation. Roč. 54, č. 9 (2022), č. článku 113. ISSN 0001-7701. E-ISSN 1572-9532
Grant ostatní: AV ČR(CZ) LQ100032102; AV ČR(CZ) Prémie Lumina quaeruntur 2020
Program: Prémie Lumina quaeruntur
Institucionální podpora: RVO:67985815
Klíčová slova: Mathisson-Papapetrou-Dixon equations * particle dynamics * black holes
Obor OECD: Astronomy (including astrophysics,space science)
Impakt faktor: 2.8, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s10714-022-02985-6

This work investigates whether an extended test body obeying the Mathisson-Papapetrou-Dixon equations under the Ohashi-Kyrian-Semerák spin supplementary condition can follow geodesic trajectories in curved spacetimes. In particular, we explore what are the requirements under which pole-dipole and pole-dipole-quadrupole approximated bodies moving in the Schwarzschild or Kerr spacetimes can follow equatorial geodesic trajectories. We do this exploration thoroughly in the pole-dipole case, while we focus just on particular trajectories in the pole-dipole-quadrupole case. Using the Ohashi-Kyrian-Semerák spin supplementary condition to fix the center of the mass of a pole-dipole body has the advantage that the hidden momentum is eliminated. This allows the four-velocity to be parallel to the four-momentum, which provides a convenient framework for our investigation. We discuss how this feature can be recovered at a pole-dipole-quadrupole approximation and what are the consequences.
Trvalý link: https://hdl.handle.net/11104/0334566