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.
Radiated momentum in gravitational two-body scattering including time-asymmetric effects
D Bini;
2023
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
