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arXiv · 2210.07165

Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects

Donato Bini·Thibault Damour·Andrea Geralico
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Abstract

We compute to high post-Newtonian accuracy the 4-momentum (linear momentum, and energy), radiated as gravitational waves in a two-body system undergoing gravitational scattering. We include, for the first time, all the relevant {\it time-asymmetric} effects that arise when consistently going three post Newtonian orders beyond the leading post Newtonian order. We find that the inclusion of time-asymmetric radiative effects (both in tails and in the radiation-reacted hyperbolic motion) is crucial to ensure the mass-polynomiality of the post-Minkowskian expansion ($G$ expansion) of the radiated 4-momentum. Imposing the mass-polynomiality of the corresponding individual impulses determines the conservativelike radiative contributions at the fourth post-Minkowskian order, and strongly constrains them at the fifth post-Minkowskian order.

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Donato Bini, Thibault Damour, Andrea Geralico. 2022-10-13. Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects. https://doi.org/10.1103/physrevd.107.024012

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