Next-to-leading tail-induced spin-orbit effects in the gravitational radiation flux of compact binaries

Abstract

The imprint of non-linearities in the propagation of gravitational waves --- the tail effect --- is responsible for new spin contributions to the energy flux and orbital phasing of spinning black hole binaries. The spin-orbit (linear in spin) contribution to this effect is currently known at leading post-Newtonian order, namely 3PN for maximally spinning black holes on quasi-circular orbits. In the present work, we generalize these tail-originated spin-orbit terms to the next-to-leading 4PN order. This requires in particular extending previous results on the dynamical evolution of precessing compact binaries. We show that the tails represent the only spin-orbit terms at that order for quasi-circular orbits, and we find perfect agreement with the known result for a test particle around a Kerr black hole, computed by perturbation theory. The BH-horizon absorption terms have to be added to the PN result computed here. Our work completes the knowledge of the spin-orbit effects to the phasing of compact binaries up to the 4PN order, and will allow the building of more faithful PN templates for the inspiral phase of black hole binaries, improving the capabilities of ground-based and space-based gravitational wave detectors.

22 pages, 1 figure; replaced to match the published version, two references added

References in corpus (12)

• Constraining Black Hole Spin Via X-ray Spectroscopy
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Tidal heating and torquing of a Kerr black hole to next-to-leading order in the tidal coupling
• Recoil velocity at 2PN order for spinning black hole binaries
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries

Cited by in corpus (53)

• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Black holes, gravitational waves and fundamental physics: a roadmap
• Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
• New twists in compact binary waveform modelling: a fast time domain model for precession
• Improved methods for simulating nearly extremal binary black holes
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Constraining the orbital eccentricity of inspiralling compact binary systems with Advanced LIGO
• The Science of the Einstein Telescope
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order
• Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole to the 11th Post-Newtonian Order
• Nonlinear-in-spin effects in effective-one-body waveform models of spin-aligned, inspiralling, neutron star binaries
• Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein-Cartan theory
• Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
• Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics
• Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Comparing Post-Newtonian and Numerical-Relativity Precession Dynamics
• Constraints on the binary black hole nature of GW151226 and GW170608 from the measurement of spin-induced quadrupole moments
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• Post-Newtonian templates for binary black-hole inspirals: the effect of the horizon fluxes and the secular change in the black-hole masses and spins
• Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. II: the higher multipolar modes
• Spin-induced deformations and tests of binary black hole nature using third-generation detectors
• The most powerful astrophysical events: Gravitational-wave peak luminosity of binary black holes as predicted by numerical relativity
• Spin contributions to the gravitational-waveform modes for spin-aligned binaries at the 3.5PN order
• Modelling gravitational waves from precessing black-hole binaries: Progress, challenges and prospects
• Testing the multipole structure and conservative dynamics of compact binaries using gravitational wave observations: The spinning case
• ESIGMAHM: An Eccentric, Spinning inspiral-merger-ringdown waveform model with Higher Modes for the detection and characterization of binary black holes
• Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime
• Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals
• Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process
• Population inference of spin-induced quadrupole moments as a probe for non-black hole compact binaries
• Analyzing Gravitational Waves with General Relativity
• Template bank for spinning compact binary mergers in the second observation run of Advanced LIGO and the first observation run of Advanced Virgo
• Testing the Kerr nature of intermediate-mass and supermassive black hole binaries using spin-induced multipole moment measurements
• Analytical effective-one-body formalism for extreme-mass-ratio inspirals: eccentric orbits
• Analytic approximations, perturbation theory, effective field theory methods and their applications
• Detectability of gravitational higher order modes in the third-generation era
• Optimizing post-Newtonian parameters and fixing the BMS frame for numerical-relativity waveform hybridizations
• Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction
• Hybrid waveforms for generic precessing binaries for gravitational-wave data analysis
• Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group
• Octupolar test of general relativity
• Gravitational waves from spinning compact object binaries: New post-Newtonian results
• Tests of general relativity at the fourth post-Newtonian order
• Eccentricity evolution of spinning binaries and its dependence on the equation of state of the components
• First-post-Newtonian generation of gravitational waves in Einstein-Cartan theory
• Compact binary system dynamics at the second post-Newtonian order: analytical formula of the coordinate time for eccentric and circular orbits
• Waveform model for the $(\ell =2,m=0)$ spherical harmonic and the displacement memory contribution from precessing binary black holes