Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation

Abstract

We compute the hereditary part of the third post-Newtonian accurate gravitational energy radiation from hyperbolic scatterings (and parabolic scatterings) of non-spinning compact objects. We employ large angular momentum ($j$) expansion, and compute it to the relative $1/j^{11}$ order (so the first 12 terms). For parabolic scattering case, the exact solution is computed. At the end, the completely collected expression of the energy radiation upto the third post-Newtonian and from $1/j^3$ to $1/j^{15}$ order, is presented including the instantaneous contribution.

References in corpus (17)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Gravitational Bremsstrahlung from Reverse Unitarity
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Detection Rate Estimates of Gravity-waves Emitted During Parabolic Encounters of Stellar Black Holes in Globular Clusters
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• From Boundary Data to Bound States III: Radiative Effects
• Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
• Gravitational Wave observatories may be able to detect hyperbolic encounters of Black Holes
• Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process
• Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation

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• Multipolar invariants and the eccentricity enhancement function parametrization of gravitational radiation
• Resummed energy loss in extreme-mass-ratio scattering using critical orbits
• Quasi-Keplerian parametrization for compact binaries on hyperbolic orbits in scalar-tensor theories at second post-Newtonian order