Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion

Abstract

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.

Version accepted for publication. 5 pages, 2 figures, 1 table + supplemental material. Some minor typos corrected and a few references added relative to v1

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• Radiation-reaction and angular momentum loss at the second Post-Minkowskian order
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Stochastic gravitational wave background from the collisions of dark matter halos
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework