Coalescence of Two Spinning Black Holes: An Effective One-Body Approach

Abstract

We generalize to the case of spinning black holes a recently introduced ``effective one-body'' approach to the general relativistic dynamics of binary systems. The combination of the effective one-body approach, and of a Padé definition of some crucial effective radial functions, is shown to define a dynamics with much improved post-Newtonian convergence properties, even for black hole separations of the order of $6GM/c^2$. We discuss the approximate existence of a two-parameter family of ``spherical orbits'' (with constant radius), and, of a corresponding one-parameter family of ``last stable spherical orbits'' (LSSO). These orbits are of special interest for forthcoming LIGO/VIRGO/GEO gravitational wave observations. It is argued that for most (but not all) of the parameter space of two spinning holes the effective one-body approach gives a reliable analytical tool for describing the dynamics of the last orbits before coalescence. This tool predicts, in a quantitative way, how certain spin orientations increase the binding energy of the LSSO. This leads to a detection bias, in LIGO/VIRGO/GEO observations, favouring spinning black hole systems, and makes it urgent to complete the conservative effective one-body dynamics given here by adding (resummed) radiation reaction effects, and by constructing gravitational waveform templates that include spin effects. Finally, our approach predicts that the spin of the final hole formed by the coalescence of two arbitrarily spinning holes never approaches extremality.

26 pages, two eps figures, accepted in Phys. Rev. D, minor updating of the text, clarifications added and inclusion of a few new references

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• Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime
• Constraining gravitational wave amplitude birefringence with GWTC-3
• Unmodelled Clustering Methods for Gravitational Wave Populations of Compact Binary Mergers
• Minimum energy and the end of the inspiral in the post-Newtonian approximation
• Spin-eccentricity interplay in merging binary black holes
• On the LISA science performance in observations of short-lived signals from massive black hole binary coalescences
• Effect of orbital eccentricity on the dynamics of precessing compact binaries
• On the equal-mass limit of precessing black-hole binaries
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Analytical effective-one-body formalism for extreme-mass-ratio inspirals: eccentric orbits
• 2.5PN accurate waveform information for generic-planar-orbit binaries in effective one-body models
• Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
• A taxonomy of black-hole binary spin precession and nutation
• Spin Doctors: How to diagnose a hierarchical merger origin
• Rotating Love: The dynamical tides of spinning Newtonian stars
• Adding equatorial-asymmetric effects for spin-precessing binaries into the SEOBNRv5PHM waveform model
• Parametrized spin-precessing inspiral-merger-ringdown waveform model for tests of general relativity
• Incorporation of model accuracy in gravitational wave Bayesian inference
• New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: redshift invariant
• Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Parametric derivation of the observable relativistic periastron advance for binary pulsars
• A Thesaurus for Common Priors in Gravitational-Wave Astronomy
• Characterization of low-significance gravitational-wave compact binary sources
• Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
• Influence of mass-ratio corrections in extreme-mass-ratio inspirals for testing general relativity
• Signal based vetoes for the detection of gravitational waves from inspiralling compact binaries
• Efficient fully precessing gravitational waveforms for binaries with neutron stars
• Gravitational-wave Observations Suggest Most Black Hole Mergers Form in Triples
• New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession
• Detweiler's redshift invariant for spinning particles along circular orbits on a Schwarzschild background
• Gravitational Waves versus X and Gamma Ray Emission in a Short Gamma-Ray Burst
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Constraining black-hole binary spin precession and nutation with sequential prior conditioning
• Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
• Mapping the asymptotic inspiral of precessing binary black holes to their merger remnants
• Detectability of gravitational higher order modes in the third-generation era
• Numerical Relativity and High Energy Physics: Recent Developments
• Structure and Skewness of the Effective Inspiral Spin Distribution of Binary Black Hole Mergers
• Searching for candidates of coalescing binary black holes formed through chemically homogeneous evolution in GWTC-3
• Charged test-particle scattering and effective one-body metrics with spin
• The 2.5PN linear momentum flux and associated recoil from inspiralling compact binaries in quasi-circular orbits: Nonspinning case
• Accounting for numerical-relativity calibration uncertainty in gravitational-wave modeling and inference
• Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order
• Real modes and null memory contributions in effective-one-body models
• Do both black holes spin in merging binaries? Evidence from GWTC-4 and astrophysical implications
• Scalar Tops and Perturbed Quadrupoles: Probing Fundamental Physics with Spin-Precessing Binaries
• Improved gravitational waveforms from spinning black hole binaries
• Statistical constraints on binary black hole inspiral dynamics
• Merger states and final states of black hole coalescences: a numerical-relativity-assisted effective-one-body approach
• Prospects for measuring off-axis spins of binary black holes with Plus-era gravitational-wave detectors
• A first-order secular theory for the post-Newtonian two-body problem with spin -- I: The restricted case
• Spin induction from scattering of two spinning black holes in dense clusters
• Binary black holes in Mkns as sources of gravitational radiation for space based interferometers
• Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order
• Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
• More about scalar gravity
• Effective metric of spinless binaries with radiation-reaction effect up to fourth Post-Minkowskian order in effective-one-body theory
• High-energy hyperbolic scattering by neutron stars and black holes
• Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
• Note on Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals: Retrograde Orbits
• Waveforms from Amplitudes
• Cassini states for black hole binaries
• Who Ordered That? Unequal-Mass Binary Black Hole Mergers Have Larger Effective Spins
• Self-forced evolutions of an implicit rotating source: A natural framework to model comparable and intermediate mass-ratio systems from inspiral through ringdown
• Analytical determination of the periastron advance in spinning binaries from self-force computations
• The binary black hole explorer: on-the-fly visualizations of precessing binary black holes
• Testing the Boundary-to-Bound Correspondence with Numerical Relativity
• A Post-Newtonian approach to black hole-fluid systems
• Implementation of a generalized precession parameter in the RIFT parameter estimation algorithm
• Binary Black Hole Coalescence in Semi-Analytic Puncture Evolution
• Gravitational waves from inspiraling binary black holes
• Characterizing the effect of eccentricity on the dynamics of binary black hole mergers in numerical relativity
• Distinguishing the Origin of Eccentric Black Hole Mergers with Gravitational-wave Spin Measurements
• Numerical relativity simulations in the era of the Einstein Telescope
• Resonant Islands of Effective-One-Body Dynamics
• Modeling matter(s) in SEOBNRv5THM: Generating fast and accurate effective-one-body waveforms for spin-aligned binary neutron stars
• Optimizing the Placement of Numerical Relativity Simulations using a Mismatch Predicting Neural Network
• Revisiting the relationship of black-hole kicks and multipole asymmetries
• Observability of spin precession in the presence of a black-hole remnant kick
• Accretion mediated spin-eccentricity correlations in LISA massive black hole binaries
• Gravitational Wave Searches for Aligned-Spin Binary Neutron Stars Using Nonspinning Templates
• The general relativistic two body problem
• Observable Signatures of EMRI Black Hole Binaries Embedded in Thin Accretion Disks
• Gravitational and electromagnetic emission by magnetized coalescing binary systems
• Waging a Campaign: Results from an Injection-Recovery Study involving 35 numerical Relativity Simulations and three Waveform Models
• Modeling Gravitational Wave Modes from the Inspiral of Binaries with Arbitrary Eccentricity
• On the foundations of general relativistic celestial mechanics
• The Effective One Body description of the Two-Body problem
• Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory
• A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits
• Advancing the Effective-One-Body Framework in the Test-Mass Limit
• Black-Hole Perturbation Plus Post-Newtonian Theory: Hybrid Waveform for Neutron Star Binaries
• Evolution systems for non-linear perturbations of background geometries
• Strong Field Scattering of Two Black Holes: Exploring Gauge Flexibility
• Analytic solutions for the motion of spinning particles near brane-world black hole
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• Merging Black Holes: Assessing the Performance of Two Analytic Gravitational Waves Models
• Black Hole and Neutron Star Binaries: Theoretical Challenges
• Probing Spin-Orbit Resonances with the Binary Black Hole Population
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• Unmasking noise transients masquerading as intermediate-mass black hole binaries
• Modelling the post-Newtonian test-mass gravitational wave flux function for compact binary systems using Chebyshev polynomials
• An analytical joint prior for effective spins for inference on the spin distribution of binary black holes
• Gravitational-wave signatures of nonviolent nonlocality
• The Radial Action from Probe Amplitudes to All Orders
• Radial infall of two compact objects: 2.5PN linear momentum flux and associated recoil
• Characterizing Compact-object Binaries in the Lower Mass Gap with Gravitational Waves
• Modeling Relative Peak Times of Gravitational Wave Harmonics
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework
• Signatures of spin precession and nutation in isolated black-hole binaries
• Deep Residual Error and Bag-of-Tricks Learning for Gravitational Wave Surrogate Modeling
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits
• Waveforms and fluxes: Towards a self-consistent effective one body waveform model for nonprecessing, coalescing black-hole binaries for third generation detectors
• Normal Approximate Likelihoods to Gravitational Wave Events
• Hybrid waveforms for precessing quasi-circular binary systems
• Learning Post-Newtonian Corrections from Numerical Relativity
• Analytical solutions of bound timelike geodesic orbits in effective-one-body frame
• Unexpected Symmetries of Kerr Black Hole Scattering
• Rotation-dependent $I$-Love-$Q$-$\delta M$ relations in perturbation theory
• No model-independent evidence for a peak in binary black hole spin (mis)alignments
• Comparing eccentric waveform models based on post-Newtonian and effective-one-body approaches, over an observationally relevant parameter space
• The influence of the mean anomaly on the dynamical quantities of binary black hole mergers in eccentric orbits
• The Influence of General Relativity on the Spins of Celestial Bodies in Inclined Orbits
• GPU accelerated manifold correction method for spinning compact binaries
• Characterization of merging black holes with two precessing spins
• Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits
• Revisiting constraints on asymmetric dark matter from collapse in white dwarf stars