Physics

Gravitation

Gravitational field

Spinning

Musical

Bremsstrahlung

Engineering

Visual arts

Angular momentum

Photon

Gravitational wave

Condensed matter physics

Spins

Quantum electrodynamics

Astrophysics

Quantum mechanics

Formalism (music)

Classical mechanics

Mechanical engineering

Physical review. D/Physical review. D.

We present a novel calculation of the four-momentum that is radiated into gravitational waves during the scattering of two arbitrarily spinning bodies. Our result, which is accurate to leading order in $G$, to quadratic order in the spins, and to all orders in the velocity, is derived by using a Routhian-based worldline effective field theory formalism in concert with a battery of analytic techniques for evaluating loop integrals. While nonspinning binaries radiate momentum only along the direction of their relative velocity, we show that the inclusion of spins generically allows for momentum loss in all three spatial directions. We also verify that our expression for the radiated energy agrees with the overlapping terms from state-of-the-art calculations in post-Newtonian theory.

Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion