Explicit solution of the gravitational two-body problem at the second post-Minkowskian order
The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use our results to check the changes, during scattering, of the individual momenta as well as of the total angular momentum. High post-Newtonian order values of the $O({G}^{2})$ radiation-reaction acceleration components are provided for checks of future post-Newtonian computations.
Authors
- Andrea Geralico (ORCID: https://orcid.org/0000-0001-9608-3784)
- Donato Bini (ORCID: https://orcid.org/0000-0002-5237-769X)
- Thibault Damour (ORCID: https://orcid.org/0000-0003-4519-6265)
Institutions
- Istituto per le Applicazioni del Calcolo Mauro Picone (IT)
- Institut des Hautes Études Scientifiques (FR)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-11-19
- DOI
- https://doi.org/10.1103/physrevd.110.104051
- Citations
- 1
- Primary Topic
- Pulsars and Gravitational Waves Research
- Type
- article
- Field-Weighted Citation Impact
- 0.33
Funders
- Fondazione Internazionale Premio Balzan
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per la Fisica Matematica