Radial fall: the gravitational waveform up to the second-and-half Post-Newtonian order

Fuente: arXiv
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Auteurs principaux: Bini, Donato, Di Russo, Giorgio
Format: Preprint
Publié: 2026
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author Bini, Donato
Di Russo, Giorgio
author_facet Bini, Donato
Di Russo, Giorgio
contents We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5 Post-Newtonian accuracy level. At this level the presence of a radiation-reaction force manifests, modifying the fall with a corresponding bremsstrahlung radiation. We evaluate then all emissions: energy, angular momentum (vanishing identically) and linear momentum. We also evaluate the (nonlocal) inertial forces contributions appearing (at the next PN order, 4.5PN) in the center-of-mass due to the losses paving the way for future more accurate computations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01699
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Radial fall: the gravitational waveform up to the second-and-half Post-Newtonian order
Bini, Donato
Di Russo, Giorgio
General Relativity and Quantum Cosmology
We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5 Post-Newtonian accuracy level. At this level the presence of a radiation-reaction force manifests, modifying the fall with a corresponding bremsstrahlung radiation. We evaluate then all emissions: energy, angular momentum (vanishing identically) and linear momentum. We also evaluate the (nonlocal) inertial forces contributions appearing (at the next PN order, 4.5PN) in the center-of-mass due to the losses paving the way for future more accurate computations.
title Radial fall: the gravitational waveform up to the second-and-half Post-Newtonian order
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.01699