Radiation-reaction and angular momentum loss at the second Post-Minkowskian order

Abstract

We compute the variation of the Fokker-Wheeler-Feynman total linear and angular momentum of a gravitationally interacting binary system under the second post-Minkowskian retarded dynamics. The resulting $O(G^2)$ equations-of-motion-based, total change in the system's angular momentum is found to agree with existing computations that assumed balance with angular momentum fluxes in the radiation zone.

18 pages, 2 eps figures

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• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Gravitational scattering of two neutron stars
• Supertranslation ambiguity in post-Minkowskian expansion
• Double soft graviton factors from the gravitational Wilson line
• Frames and Slicings for Angular Momentum in Post-Minkowski Scattering
• Note on post-Minkowskian expansion and Bondi coordinates