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

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arxiv 2210.07165 v2 pith:EUUL54X2 submitted 2022-10-13 gr-qc

classification gr-qc
keywords momentumeffectsgravitationalorderpost-minkowskianradiatedtime-asymmetricexpansion
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 14 Pith papers

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