Evolution of small-mass-ratio binaries with a spinning secondary

Abstract

We calculate the evolution and gravitational-wave emission of a spinning compact object inspiraling into a substantially more massive (non-rotating) black hole. We extend our previous model for a non-spinning binary [Phys. Rev. D 93, 064024] to include the Mathisson-Papapetrou-Dixon spin-curvature force. For spin-aligned binaries we calculate the dephasing of the inspiral and associated waveforms relative to models that do not include spin-curvature effects. We find this dephasing can be either positive or negative depending on the initial separation of the binary. For binaries in which the spin and orbital angular momentum are not parallel, the orbital plane precesses and we use a more general osculating element prescription to compute inspirals.

arXiv comment17 pages, 6 figures

References in corpus (107)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Laser Interferometer Space Antenna
• The motion of point particles in curved spacetime
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Gravitational Radiation Reaction to a Particle Motion
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• The promise of multi-band gravitational wave astronomy
• Spinning-black-hole binaries: The orbital hang up
• Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
• Mode sum regularization approach for the self-force in black hole spacetime
• Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
• Calculating the gravitational self force in Schwarzschild spacetime
• Periastron Advance in Black-Hole Binaries
• Second-order gravitational self-force
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Gravitational self force on a particle in circular orbit around a Schwarzschild black hole
• Evolution of inspiral orbits around a Schwarzschild black hole
• Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
• Rotating black hole orbit functionals in the frequency domain
• Spacetime and orbits of bumpy black holes
• Transient resonances in the inspirals of point particles into black holes
• Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole
• Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
• Rates and Characteristics of Intermediate Mass Ratio Inspirals Detectable by Advanced LIGO
• Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation
• Dynamics of spinning test particles in Kerr spacetime
• Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
• Second Order Gravitational Self-Force
• Post-Newtonian and Numerical Calculations of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• Gravitational waves from intermediate-mass-ratio inspirals for ground-based detectors
• Self-force of a scalar field for circular orbits about a Schwarzschild black hole
• Highly eccentric inspirals into a black hole
• Gravitational Radiation from Intermediate-Mass Black Holes
• An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole
• Computing inspirals in Kerr in the adiabatic regime. I. The scalar case
• High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations
• Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
• Nonlinear gravitational self-force: second-order equation of motion
• Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
• Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
• Gravitational self-torque and spin precession in compact binaries
• Low multipole contributions to the gravitational self-force
• Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
• Gravitational self-force from radiation-gauge metric perturbations
• Forced motion near black holes
• Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
• A practical, covariant puncture for second-order self-force calculations
• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
• Gravitational radiation reaction and second order perturbation theory
• Finding high-order analytic post-Newtonian parameters from a high-precision numerical self-force calculation
• Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
• Center of mass, spin supplementary conditions, and the momentum of spinning particles
• Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases
• Tidal invariants for compact binaries on quasi-circular orbits
• Self-force corrections to the periapsis advance around a spinning black hole
• Improved analytic extreme-mass-ratio inspiral model for scoping out eLISA data analysis
• Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
• Self-consistent orbital evolution of a particle around a Schwarzschild black hole
• Motion of small objects in curved spacetimes: An introduction to gravitational self-force
• High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime
• Gravitational perturbations and metric reconstruction: Method of extended homogeneous solutions applied to eccentric orbits on a Schwarzschild black hole
• Gravitational self force by mode sum regularization
• Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
• Probing General Relativity With Mergers of Supermassive and Intermediate-Mass Black Holes
• Analytic self-force calculations in the post-Newtonian regime: eccentric orbits on a Schwarzschild background
• Gravitational Radiations from a Spinning Compact Object around a supermassive Kerr black hole in circular orbit
• Frequency-domain algorithm for the Lorenz-gauge gravitational self-force
• Analytical high-order post-Newtonian expansions for spinning extreme mass ratio binaries
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Applying the effective-source approach to frequency-domain self-force calculations: Lorenz-gauge gravitational perturbations
• Second-order perturbation theory: problems on large scales
• Investigating spinning test particles: spin supplementary conditions and the Hamiltonian formalism
• A Fast Frequency-Domain Algorithm for Gravitational Self-Force: I, Circular Orbits in Schwarzschild Spacetime
• Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
• A census of transient orbital resonances encountered during binary inspiral
• Second-order perturbation theory: the problem of infinite mode coupling
• Importance of including small body spin effects in the modelling of extreme and intermediate mass-ratio inspirals
• Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
• Orbital resonances around Black holes
• Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
• A conservative effect of the second-order gravitational self-force on quasicircular orbits in Schwarzschild spacetime
• Applying the effective-source approach to frequency-domain self-force calculations
• Intermediate-mass-ratio-inspirals in the Einstein Telescope. II. Parameter estimation errors
• Redshift factor and the first law of binary black hole mechanics in numerical simulations
• Intermediate-mass-ratio-inspirals in the Einstein Telescope: I. Signal-to-noise ratio calculations
• High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime
• Metric perturbations from eccentric orbits on a Schwarzschild black hole: I. Odd-parity Regge-Wheeler to Lorenz gauge transformation and two new methods to circumvent the Gibbs phenomenon
• Fast spectral source integration in black hole perturbation calculations
• Importance of including small body spin effects in the modelling of intermediate mass-ratio inspirals. II Accurate parameter extraction of strong sources using higher-order spin effects
• Octupolar invariants for compact binaries on quasi-circular orbits
• Nutational resonances, transitional precession, and precession-averaged evolution in binary black-hole systems
• Gravitational radiation reaction
• Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. III: Spin-orbit coupling revisited

Cited by in corpus (55)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Self-force and radiation reaction in general relativity
• FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
• Second-order self-force calculation of the gravitational binding energy in compact binaries
• Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
• Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
• The Science of the Einstein Telescope
• Spinning test particle in four-dimensional Einstein-Gauss-Bonnet Black Hole
• Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
• Fast Self-forced Inspirals
• Self-Force Calculations with a Spinning Secondary
• Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
• Hamilton-Jacobi equation for spinning particles near black holes
• Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
• Innermost stable circular orbit of spinning particle in charged spinning black hole background
• Dissipation in extreme-mass ratio binaries with a spinning secondary
• Eccentric self-forced inspirals into a rotating black hole
• Hamiltonians and canonical coordinates for spinning particles in curved space-time
• Physics of eccentric binary black hole mergers: A numerical relativity perspective
• Second-order gravitational self-force in a highly regular gauge
• Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
• Bounds on spinning particles in their innermost stable circular orbits around rotating braneworld black hole
• Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects
• Model independent tests of the Kerr bound with extreme mass ratio inspirals
• Resonant self-force effects in extreme-mass-ratio binaries: A scalar model
• Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
• Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits
• Motion of spinning particles around black hole in a dark matter halo
• Extreme mass ratio inspirals into black holes surrounded by matter
• Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
• Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole
• New self-force method via elliptic partial differential equations for Kerr inspiral models
• Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
• Motion deviation of test body induced by spin and cosmological constant in extreme mass ratio inspiral binary system
• Highly eccentric EMRI waveforms via fast self-forced inspirals
• Eccentric-orbit EMRI radiation: Analytic forms of leading-logarithm and subleading-logarithm flux terms at high PN orders
• Accelerated motion and the self-force in Schwarzschild spacetime
• Tidal heating and torquing of the primary black hole in eccentric-orbit, non-spinning extreme-mass-ratio inspirals to 22PN order
• Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole
• Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences
• Testing gravity with Extreme-Mass-Ratio Inspirals
• Post-adiabatic waveform-generation framework for asymmetric precessing binaries
• Constraining the EdGB Theory with Extreme Mass-Ratio Inspirals
• Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures
• Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
• Reissner-Nordström perturbation framework with gravitational wave applications
• Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
• Post-adiabatic waveforms from extreme mass ratio inspirals in the presence of dark matter
• A note on the conversion of orbital angles for extreme mass ratio inspirals
• Spin and quadrupolar effects in the secular evolution of precessing compact binaries with black hole, neutron star, gravastar, or boson star components
• Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane
• Precisely computing bound orbits of spinning bodies around black holes II: Generic orbits
• Encounter between an extended hyperelastic body and a Schwarzschild black hole with quadrupole-order effects
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits