Multipolar invariants and the eccentricity enhancement function parametrization of gravitational radiation

Abstract

Gravitational radiation can be decomposed as an infinite sum of radiative multipole moments, which parametrize the waveform at infinity. The multipolar-post-Minkowskian formalism provides a connection between these multipoles and the source multipole moments, known as explicit integrals over the matter source. The gravitational wave energy, angular momentum and linear momentum fluxes are then expressed as multipolar expansions containing certain combinations of the source moments. We compute several gauge-invariant quantities as "building blocks" entering the multipolar expansion of both radiated energy and angular momentum at the 2.5 post-Newtonian (PN) level of accuracy in the case of hyperboliclike motion, by completing previous studies through the calculation of tail effects up to the fractional 1PN order. We express such multipolar invariants in terms of certain eccentricity enhancement factor functions, which are the counterpart of the well known enhancement functions already introduced in the literature for ellipticlike motion. Finally, we use the complete 2.5PN-accurate averaged energy and angular momentum fluxes to study the associated adiabatic evolution of orbital elements under gravitational radiation reaction.

25 pages, revtex macros used

References in corpus (17)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Extraction of Gravitational Waves in Numerical Relativity
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Radiative contributions to gravitational scattering
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order
• 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
• Near and far zone in two-body dynamics: an effective field theory perspective
• Determination of new coefficients in the angular momentum and energy fluxes at infinity to 9PN for eccentric Schwarzschild extreme-mass-ratio inspirals using mode-by-mode fitting
• 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
• Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation

Cited by in corpus (2)

• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects