Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order

Abstract

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we further provide explicit expressions for the gravitational-wave polarizations and the decomposition into spin-weighted spherical-harmonic modes. Knowledge of the second post-Newtonian spin terms in the waveform could be used to improve the physical content of analytical templates for data analysis of compact binary inspirals and for more accurate comparisons with numerical-relativity simulations.

15 pages, expressions available in mathematica format upon request

References in corpus (75)

• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Effective one-body approach to general relativistic two-body dynamics
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Transition from inspiral to plunge in binary black hole coalescences
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• Observing binary inspiral in gravitational radiation: One interferometer
• Detection, Measurement and Gravitational Radiation
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order
• Analytic black hole perturbation approach to gravitational radiation
• Gravitational radiation from compact binary systems: gravitational waveforms and energy loss to second post-Newtonian order
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit
• Higher-order spin effects in the dynamics of compact binaries II. Radiation field
• Gravitational waves from inspiralling compact binaries: Energy loss and waveform to second--post-Newtonian order
• Gravitational waves from inspiraling compact binaries: The quadrupole-moment term
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms
• Stellar-mass Black Hole Spin Constraints from Disk Reflection and Continuum Modeling
• Gravitational-wave versus binary-pulsar tests of strong-field gravity
• The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• An improved analytical description of inspiralling and coalescing black-hole binaries
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Quadrupole moments of rotating neutron stars
• Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
• Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• Tracking the precession of compact binaries from their gravitational-wave signal
• Addressing the spin question in gravitational-wave searches: Waveform templates for inspiralling compact binaries with nonprecessing spins
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits
• Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Second-post-Newtonian generation of gravitational radiation
• On the multipole expansion of the gravitational field
• The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
• Self-interaction spin effects in inspiralling compact binaries
• A geometric approach to the precession of compact binaries
• Gravitational-Wave Astronomy with Inspiral Signals of Spinning Compact-Object Binaries
• Spin-squared Hamiltonian of next-to-leading order gravitational interaction
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• ADM canonical formalism for gravitating spinning objects
• Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order
• Multipolar equations of motion for extended test bodies in General Relativity
• A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Estimating the parameters of non-spinning binary black holes using ground-based gravitational-wave detectors: Statistical errors
• Efficient asymptotic frame selection for binary black hole spacetimes using asymptotic radiation
• Tail-induced spin-orbit effect in the gravitational radiation of compact binaries
• Recoil velocity at 2PN order for spinning black hole binaries
• Canonical Formulation of Spin in General Relativity
• Post-Newtonian expansion of gravitational waves from a particle in circular orbits around a rotating black hole: Up to $O(v^8)$ beyond the quadrupole formula
• A quasi-physical family of gravity-wave templates for precessing binaries of spinning compact objects: Application to double-spin precessing binaries
• Nonspinning searches for spinning binaries in ground-based detector data: Amplitude and mismatch predictions in the constant precession cone approximation
• Detecting gravitational waves from precessing binaries of spinning compact objects. II. Search implementation for low-mass binaries
• Non-precessional spin-orbit effects on gravitational waves from inspiraling compact binaries to second post-Newtonian order
• Radiation reaction in the 2.5PN waveform from inspiralling binaries in circular orbits
• Asymptotic frame selection for binary black hole spacetimes II: Post-Newtonian limit

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