Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Phys. Rev. D 111(6), 064086 (2025)
We consider a spinning test particle around a rotating black hole and compare the MathissonPapapetrou-Dixon (MPD) formalism under the Tulczyjew-Dixon spin supplementary condition to the test-mass limit of the effective-one-body (EOB) Hamiltonian of [T. Damour and A. Nagar, New effective-one-body description of coalescing nonprecessing spinning black-hole binaries, Phys. Rev. D 90, 044018 (2014)] with enhanced spin-orbit sector. We focus on circular equatorial orbits: we first compare the constants of motion at their linear in secondary spin sigma approximation and then we compute the gravitational-wave (GW) fluxes using a frequency domain Teukolsky equation solver. We find no difference between the EOB and MPD fluxes when the background spacetime is Schwarzschild, while the difference for a Kerr background is maximum for large, positive spins. Our work could be considered as a first step to improve the radiation reaction of the EOB model, in view of the needs of the next-generation of GW detectors.
@article{UTF1076,
author = {Albertini, A. and Skoupý, V. and Lukes-Gerakopoulos, G. and Nagar, A.},
title = {{Comparing effective-one-body and Mathisson-Papapetrou-Dixon results for a spinning test particle on circular equatorial orbits around a Kerr black hole}},
journal = {Phys. Rev. D},
volume = {111},
number = {6},
pages = {064086},
year = {2025},
doi = {10.1103/PhysRevD.111.064086},
eprint = {2412.16077},
archivePrefix = {arXiv},
url = {https://doi.org/10.1103/PhysRevD.111.064086},
}