Momentum recoil in the relativistic two-body problem: higher-order tails
arXiv:2202.03037 · doi:10.1103/PhysRevD.105.084028
Abstract
In the description of the relativistic two-body interaction, together with the effects of energy and angular momentum losses due to the emission of gravitational radiation, one has to take into account also the loss of linear momentum, which is responsible for the recoil of the center-of-mass of the system. We compute higher-order tail (i.e., tail-of-tail and tail-squared) contributions to the linear momentum flux for a nonspinning binary system either along hyperboliclike or ellipticlike orbits. The corresponding orbital averages are evaluated at their leading post-Newtonian approximation, using harmonic coordinates and working in the Fourier domain. The final expressions are given in a large-eccentricity (or large-angular momentum) expansion along hyperboliclike orbits and in a small-eccentricity expansion along ellipticlike orbits. We thus complete a previous analysis focusing on both energy and angular momentum losses [Phys. Rev. D \textbf{104}, no.10, 104020 (2021)], providing brick-type results which will be useful, e.g., in the high-accurate determination of the radiated impulses of the two bodies undergoing a scattering process.
arXiv comment15 pages, revtex macros used; v2: Eq. (2.6) (and related) completed; minor text modifications
References in corpus (32)
- Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
- Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
- Total recoil: the maximum kick from nonspinning black-hole binary inspiral
- Black Hole Binary Dynamics from the Double Copy and Effective Theory
- From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
- General Relativity from Scattering Amplitudes
- Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
- Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
- The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
- Scattering Amplitudes and Conservative Binary Dynamics at
- How black holes get their kicks: Gravitational radiation recoil revisited
- Classical and quantum scattering in post-Minkowskian gravity
- Radiative contribution to classical gravitational scattering at the third order in
- Universality of ultra-relativistic gravitational scattering
- Gravitational-wave tails of tails
- Radiation Reaction from Soft Theorems
- Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
- Novel approach to binary dynamics: application to the fifth post-Newtonian level
- Anatomy of the binary black hole recoil: A multipolar analysis
- On the multipole expansion of the gravitational field
- Sixth post-Newtonian local-in-time dynamics of binary systems
- Gravitational Recoil of Inspiralling Black-Hole Binaries to Second Post-Newtonian Order
- Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
- Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
- Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
- Post-Newtonian approximation for isolated systems calculated by matched asymptotic expansions
- Superkicks in Hyperbolic Encounters of Binary Black Holes
- Recoil velocity at 2PN order for spinning black hole binaries
- Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
- Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
- Gravitational scattering at the seventh order in : nonlocal contribution at the sixth post-Newtonian accuracy
- The 2.5PN linear momentum flux and associated recoil from inspiralling compact binaries in quasi-circular orbits: Nonspinning case