Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects

Abstract

We examine the effects of spin-orbit and spin-spin coupling on the inspiral of a coalescing binary system of spinning compact objects and on the gravitational radiation emitted therefrom. Using a formalism developed by Blanchet, Damour, and Iyer, we calculate the contributions due to the spins of the bodies to the symmetric trace-free radiative multipole moments which are used to calculate the waveform, energy loss, and angular momentum loss from the inspiralling binary. Using equations of motion which include terms due to spin-orbit and spin-spin coupling, we evolve the orbit of a coalescing binary and use the orbit to calculate the emitted gravitational waveform. We find the spins of the bodies affect the waveform in several ways: 1) The spin terms contribute to the orbital decay of the binary, and thus to the accumulated phase of the gravitational waveform. 2) The spins cause the orbital plane to precess, which changes the orientation of the orbital plane with respect to an observer, thus causing the shape of the waveform to be modulated. 3) The spins contribute directly to the amplitude of the waveform. We discuss the size and importance of spin effects for the case of two coalescing neutron stars, and for the case of a neutron star orbiting a rapidly rotating $10M_{\odot }$ black hole.

60 pages, revtex 3.0, 16 figures available upon request, to appear in Physical Review D

References in corpus (2)

• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order

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• Canonical formulation of gravitating spinning objects at 3.5 post-Newtonian order
• Massive Black Hole Science with eLISA
• On the Newtonian and Spin-induced Perturbations felt by the Stars Orbiting around the Massive Black Hole in the Galactic Center
• Eccentric Binary Black Holes with Spin via the Direct Integration of the Post-Newtonian Equations of Motion
• Measuring the properties of nearly extremal black holes with gravitational waves
• BIFROST: simulating compact subsystems in star clusters using a hierarchical fourth-order forward symplectic integrator code
• Measuring Black Hole Spin in OJ287
• Probing nonlinear electrodynamics in slowly rotating spacetimes through neutrino astrophysics
• Evidence for subdominant multipole moments and precession in merging black-hole-binaries from GWTC-2.1
• Relativistic mergers of compact binaries in clusters: The fingerprint of the spin
• Amplification of superkicks in black-hole binaries through orbital eccentricity
• Population inference of spin-induced quadrupole moments as a probe for non-black hole compact binaries
• Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation
• Gravitational waves from binaries on unbound orbits
• Leading-order spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians
• On the impact of tides on the transit-timing fits to the TRAPPIST-1 system
• The Final Merger of Black-Hole Binaries
• The influence of the secular perturbation of an intermediate-mass companion: I. Eccentricity excitation of disk stars at the Galactic center
• Inferring spin tilts at formation from gravitational wave observations of binary black holes: Interfacing precession-averaged and orbit-averaged spin evolution
• Residual eccentricity as a systematic uncertainty on the formation channels of binary black holes
• Nutational resonances, transitional precession, and precession-averaged evolution in binary black-hole systems
• Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
• Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole
• On the equal-mass limit of precessing black-hole binaries
• Formation of low-spinning 100 Msun black holes
• On the post-Keplerian corrections to the orbital periods of a two-body system and their application to the Galactic Center
• Effect of orbital eccentricity on the dynamics of precessing compact binaries
• Spin Evolution of Supermassive Black Holes and Galactic Nuclei
• Hints of spin-orbit resonances in the binary black hole population
• Testing General Relativity with LISA including Spin Precession and Higher Harmonics in the Waveform
• Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era
• Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
• Hybrid method for understanding black-hole mergers: Inspiralling case
• Investigating the effect of in-plane spin directions for Precessing BBH systems
• Numerical simulations of black hole-neutron star mergers in scalar-tensor gravity
• Searching for Gravitational Waves from the Inspiral of Precessing Binary Systems: New Hierarchical Scheme using "Spiky" Templates
• Gravitational radiation reaction in compact binary systems: Contribution of the magnetic dipole-magnetic dipole interaction
• Testing the Kerr nature of intermediate-mass and supermassive black hole binaries using spin-induced multipole moment measurements
• A novel energy-conserving scheme for eight-dimensional systems
• Endpoint of the up-down instability in precessing binary black holes
• Binaries Wandering Around Supermassive Black Holes Due To Gravito-electromagnetism
• Precessing supermassive black hole binaries and dark energy measurements with LISA
• Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations
• Spinning compact binary dynamics and chameleon orbits
• Post-merger chirps from binary black holes as probes of the final black-hole horizon
• Probing evolution of binaries influenced by the spin-orbit resonances
• A taxonomy of black-hole binary spin precession and nutation
• Multipole Analysis of Kicks in Collision of Binary Black Holes
• Asymptotically Matched Spacetime Metric for Non-Precessing, Spinning Black Hole Binaries
• Asymptotic frame selection for binary black hole spacetimes II: Post-Newtonian limit
• Where angular momentum goes in a precessing black hole binary
• Signs of Higher Multipoles and Orbital Precession in GW151226
• Gravitomagnetic dynamical friction
• Defining eccentricity for spin-precessing binaries
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Breaking bad degeneracies with Love relations: Improving gravitational-wave measurements through universal relations
• Gravitational waveforms of binary neutron star inspirals using post-Newtonian tidal splicing
• Canonical Angles In A Compact Binary Star System With Spinning Components: Approximative Solution Through Next-To-Leading-Order Spin-Orbit Interaction for Circular Orbits
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Next-to-leading order spin-orbit effects in the equations of motion, energy loss and phase evolution of binaries of compact bodies in the effective field theory approach
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• On the dynamics of tilted black hole-torus systems
• Up-down instability of binary black holes in numerical relativity
• Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole
• Gravitational waves from coalescing binaries and Doppler experiments
• Supermassive black hole spin-flip during the inspiral
• Probing Noncommutative Gravity with Gravitational Wave and Binary Pulsar Observations
• NGC 6240 Supermassive Black Hole Binary dynamical evolution based on Chandra data
• Revisiting the 2PN pericentre precession in view of possible future measurements of it
• Spinning compact binary inspiral II: Conservative angular dynamics
• Hunting intermediate-mass black holes with LISA binary radial velocity measurements
• Gravitational radiation-reaction in arbitrary dimension
• Gravitational wave detection from OJ 287 via a pulsar timing array
• The true and eccentric anomaly parametrizations of the perturbed Kepler motion
• Inconsistent black hole kick estimates from gravitational-wave models
• Constraining black-hole binary spin precession and nutation with sequential prior conditioning
• Numerical Relativity and High Energy Physics: Recent Developments
• The 2.5PN linear momentum flux and associated recoil from inspiralling compact binaries in quasi-circular orbits: Nonspinning case
• Detectability of gravitational higher order modes in the third-generation era
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Mapping the asymptotic inspiral of precessing binary black holes to their merger remnants
• Parametrized tests of general relativity using eccentric compact binaries
• Premerger phenomena in neutron-star binary coalescences
• Prospects for measuring off-axis spins of binary black holes with Plus-era gravitational-wave detectors
• The influence of the secular perturbation of an intermediate-mass companion: II. Ejection of hypervelocity stars from the Galactic Center
• Improved parametrized test of general relativity using the IMRPhenomX waveform family: Including higher harmonics and precession
• Impact of anti-symmetric contributions to signal multipoles in the measurement of black-hole spins
• The influence of general-relativity effects, dynamical tides and collisions on planet-planet scattering close to the star
• Supermassive binary black hole mergers
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Cosmology and nuclear-physics implications of a subsolar gravitational-wave event
• Post-Newtonian theory and the two-body problem
• Premerger localization of intermediate mass binary black holes with LISA and prospects of joint observations with Athena and LSST
• Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
• A self-lensing supermassive binary black hole at radio frequencies: the story of Spikey continues
• Can we discern millilensed gravitational-wave signals from signals produced by precessing binary black holes with ground-based detectors?
• Spin effects in the phasing formula of eccentric compact binary inspirals up to the third post-Newtonian order
• Making hot Jupiters in stellar clusters: the importance of binary exchange
• Parameter-Estimation Biases for Eccentric Supermassive Binary Black Holes in Pulsar Timing Arrays: Biases Caused by Ignored Pulsar Terms
• Coupled orbital and spin evolution of the CoRoT-7 two-planet system using a Maxwell viscoelastic rheology
• Gravitational wave recoil in Robinson-Trautman spacetimes
• Gravitational waveforms for finite mass binaries
• Gravitational radiation from corotating binary neutron stars of incompressible fluid in the first post-Newtonian approximation of general relativity
• Perturbative effects of spinning black holes with applications to recoil velocities
• Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group
• Implementation of a generalized precession parameter in the RIFT parameter estimation algorithm
• Testing general relativity via direct measurement of black hole kicks
• A Post-Newtonian approach to black hole-fluid systems
• Relativistic scattering of a fast spinning neutron star by a massive black hole
• Octupolar test of general relativity
• Distinguishing binary black hole precessional morphologies with gravitational wave observations
• The binary black hole explorer: on-the-fly visualizations of precessing binary black holes
• Memory Effect of Gravitational Wave Pulses in PP-Wave Spacetimes
• Gravitational waves from inspiraling binary black holes
• When the anomalistic, draconitic and sidereal orbital periods do not coincide: the impact of post-Keplerian perturbing accelerations
• Astrophysics with the Laser Interferometer Space Antenna
• Fast prediction and evaluation of eccentric inspirals using reduced-order models
• Prospects for probing small-scale dark matter models with pulsars around Sagittarius A*
• Revisiting the relationship of black-hole kicks and multipole asymmetries
• Gravitational waveforms from a Lense-Thirring system
• Hamiltonian Relaxation
• Gravitational Radiation-Driven Chaotic Tide in a White Dwarf-Massive Black Hole Binary as a Source of Repeating X-ray Transients
• Gravitational and electromagnetic emission by magnetized coalescing binary systems
• Probing Particle Physics with Gravitational Waves
• Recent LIGO-Virgo discoveries
• Momentum recoil in the relativistic two-body problem: higher-order tails
• Secular momentum transport by gravitational waves from spinning compact binaries
• Possibility of Measuring spin precession of the nearest supermassive black hole by S stars
• Signatures of a spinning supermassive black hole binary on the mas-scale jet of the quasar S5 1928+738 based on 25 years of VLBI data
• Kepler Object of Interest Network III. Kepler-82f: A new non-transiting $21 M_\bigoplus$ planet from photodynamical modelling
• Exploring the Use of Numerical Relativity Waveforms in Burst Analysis of Precessing Black Hole Mergers
• Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state
• Upper limits on the temperature of inspiraling astrophysical black holes
• Effects of Short-Distance Modifications to General Relativity in Spinning Binary Systems
• Modeling Apsidal Motion in Eclipsing Binaries using ELC
• Post-newtonian analysis of precessing convention for spinning compact binaries
• Stability analysis of the spin evolution fix points in inspiraling compact binaries with black hole, neutron star, gravastar, or boson star components
• The directional isotropy of LIGO-Virgo binaries
• Analytic approximations, perturbation methods, and their applications
• An Efficient Method for the Evaluation of Secular Effects in the Perturbed Keplerian Motion
• Renormalized 2PN spin contributions to the accumulated orbital phase for LISA sources
• Probing dynamical spacetimes with gravitational waves
• Tidal evolution in multiple planet systems: application to Kepler-62 and Kepler-186
• Parametrized multipolar gravitational waveforms for testing general relativity: Amplitude corrections up to 2PN order
• Parameter estimation of binary black holes in the endpoint of the up-down instability
• GW170814: Gravitational wave polarization analysis
• Examination of orbital evolution and gravitational waves of OJ 287 in the 4PN order
• Reducing orbital eccentricity in initial data of black hole--neutron star binaries in the puncture framework
• Probing Spin-Orbit Resonances with the Binary Black Hole Population
• Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits described by their orbital angular momenta
• Merging Black Holes: Assessing the Performance of Two Analytic Gravitational Waves Models
• A Parametrized Test of General Relativity for LISA Massive Black Hole Binary Inspirals
• Search for Higher Harmonic Signals from Close White Dwarf Binaries in the mHz Band
• On the 2PN periastron precession of the Double Pulsar PSR J0737-3039A/B
• Resonant Locking Between Binary Systems Induced by Gravitational Waves
• Spin dynamics of moving bodies in rotating black hole spacetimes
• Can the Near-Horizon Black Hole Memory be detected through Binary Inspirals?
• Gravitational-wave bursts from spin-precessing black holes in binary systems
• Tests of general relativity at the fourth post-Newtonian order
• Spin and quadrupolar effects in the secular evolution of precessing compact binaries with black hole, neutron star, gravastar, or boson star components
• Spin-dominated waveforms for unequal mass compact binaries
• Final velocity and radiated energy in numerical simulations of binary black holes
• Decline of the current quadrupole moment during the merger phase of binary black hole coalescence
• Accurate models for recoil velocity distribution in black hole mergers with comparable to extreme mass-ratios and their astrophysical implications
• Modeling the BMS transformation induced by a binary black hole merger
• Gravitational waveforms for black hole binaries with unequal masses
• Dynamics and gravitational radiation of binaries with spin precession and eccentricity in dynamical Chern-Simons gravity
• Coalescing binary systems of compact objects: Dynamics of angular momenta
• Dynamical evolution timescales for the supermassive black hole system in the galaxy NGC 7727 (Arp 222)
• Radial infall of two compact objects: 2.5PN linear momentum flux and associated recoil
• Laboratory Frame Representation for General High-Frequency Gravitational Waveforms
• Eccentricity evolution of spinning binaries and its dependence on the equation of state of the components
• Signatures of Hierarchical Mergers in Black Hole Spin and Mass distribution
• GPU accelerated manifold correction method for spinning compact binaries
• GENGA II: GPU planetary N-body simulations with non-Newtonian forces and high number of particles
• Uncovering subdominant multipole asymmetries in binary black-hole mergers
• Impact and detectability of spin-tidal couplings in neutron star inspirals
• Extracting the orbital axis from gravitational waves of precessing binary systems
• The influence of spin in black hole triplets
• Summary of GR18 Numerical Relativity parallel sessions (B1/B2 and B2), Sydney, 8-13 July 2007
• Inspiral waveforms for spinning compact binaries in a new precessing convention
• Characterization of merging black holes with two precessing spins
• Hybrid waveforms for precessing quasi-circular binary systems
• Searching for gravitational waves emitted by binaries with spinning components
• Comparing eccentric waveform models based on post-Newtonian and effective-one-body approaches, over an observationally relevant parameter space
• Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime
• The Influence of General Relativity on the Spins of Celestial Bodies in Inclined Orbits
• Resonant Axion-Photon Conversion in the Early Inspiral of Neutron Star Binaries