Explicit solution of the gravitational two-body problem at the second post-Minkowskian order

Fuente: arXiv
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Autores principales: Bini, Donato, Damour, Thibault, Geralico, Andrea
Formato: Preprint
Publicado: 2024
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author Bini, Donato
Damour, Thibault
Geralico, Andrea
author_facet Bini, Donato
Damour, Thibault
Geralico, Andrea
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_17193
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Explicit solution of the gravitational two-body problem at the second post-Minkowskian order
Bini, Donato
Damour, Thibault
Geralico, Andrea
General Relativity and Quantum Cosmology
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.
title Explicit solution of the gravitational two-body problem at the second post-Minkowskian order
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2408.17193