Extended bodies moving on geodesic trajectories

0562154 - ASÚ 2023 RIV CH eng J - Journal Article
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 - others:AV ČR(CZ) LQ100032102; AV ČR(CZ) Prémie Lumina quaeruntur 2020
Program: Prémie Lumina quaeruntur
Institutional support: RVO:67985815
Keywords : Mathisson-Papapetrou-Dixon equations * particle dynamics * black holes
OECD category: Astronomy (including astrophysics,space science)
Impact factor: 2.8, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0334566