Radiated momentum and radiation reaction in gravitational two-body scattering including time-asymmetric effects
Donato Bini, Thibault Damour, Andrea Geralico
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 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.