Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process

Abstract

The need for more and more accurate gravitational wave templates requires taking into account all possible contributions to the emission of gravitational radiation from a binary system. Therefore, working within a multipolar-post-Minkowskian framework to describe the gravitational wave field in terms of the source multipole moments, the dominant instantaneous effects should be supplemented by hereditary contributions arising from nonlinear interactions between the multipoles. The latter effects are referred to as tails being described in terms of integrals depending on the past history of the source. We compute higher-order tail (i.e., tail-of-tail and tail-squared) contributions to both energy and angular momentum fluxes and their averaged values along hyperboliclike orbits at the leading post-Newtonian approximation, using harmonic coordinates and working in the Fourier domain. Due to the increasing level of accuracy recently achieved in the determination of the scattering angle in a two-body system by several complementary approaches, the knowledge of these terms will provide useful information to compare results from different formalisms.

14 pages, 1 figure (2 eps files), revtex macros used; v2: Eq. (4.14) corrected

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• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Radiative contributions to gravitational scattering
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
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• Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects
• Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation
• Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Multipolar invariants and the eccentricity enhancement function parametrization of gravitational radiation
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework