Modeling the remnant mass, spin, and recoil from unequal-mass, precessing black-hole binaries: The Intermediate Mass Ratio Regime

Abstract

We revisit the modeling of the properties of the remnant black hole resulting the merger of a black-hole binary as a function of the parameters of the binary. We provide a set of empirical formulas for the final mass, spin and recoil velocity of the final black hole as a function of the mass ratio and individual spins of the progenitor. In order to determine the fitting coefficients for these formulas, we perform a set of 128 new numerical evolutions of precessing, unequal-mass black-hole binaries, and fit to the resulting remnant mass, spin, and recoil. In order to reduce the complexity of the analysis, we chose configurations that have one of the black holes spinning, with dimensionless spin alpha=0.8, at different angles with respect to the orbital angular momentum, and the other non-spinning. In addition to evolving families of binaries with different spin-inclination angles, we also evolved binaries with mass ratios as small as q=1/6. We use the resulting empirical formulas to predict the probabilities of black hole mergers leading to a given recoil velocity, total radiated gravitational energy, and final black hole spin.

New version includes correction for errors in the published version (see Erratum Phys. Rev. D 94, 029901 (2016))

References in corpus (44)

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Supermassive recoil velocities for binary black-hole mergers with antialigned spins
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Getting a kick out of numerical relativity
• Estimating the final spin of a binary black hole coalescence
• Exploring black hole superkicks
• High-spin binary black hole mergers
• The final mass and spin of black hole mergers
• Remnant mass, spin, and recoil from spin aligned black-hole binaries
• Anatomy of the binary black hole recoil: A multipolar analysis
• Modeling kicks from the merger of non-precessing black-hole binaries
• Further insight into gravitational recoil
• Binary black hole mergers: large kicks for generic spin orientations
• Binary Black Holes: Spin Dynamics and Gravitational Recoil
• Gravitational Wave Recoil and the Retention of Intermediate Mass Black Holes
• Effective potentials and morphological transitions for binary black-hole spin precession
• Recoiling black holes: electromagnetic signatures, candidates, and astrophysical implications
• Understanding the "anti-kick" in the merger of binary black holes
• Effects of gravitational-wave recoil on the dynamics and growth of supermassive black holes
• Foundations of multiple black hole evolutions
• Turbulent Black Holes
• Revised upper limit to energy extraction from a Kerr black hole
• Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
• Superkicks in Hyperbolic Encounters of Binary Black Holes
• Relativistic Suppression of Black Hole Recoils
• Modeling gravitational recoil from precessing highly-spinning unequal-mass black-hole binaries
• Binary black hole merger: symmetry and the spin expansion
• Ultra-high-energy debris from the collisional Penrose process
• Modelling the final state from binary black-hole coalescences
• The spin expansion for binary black hole merger: new predictions and future directions
• A practical formula for the radiated angular momentum
• Can binary mergers produce maximally spinning black holes?
• Modeling maximum astrophysical gravitational recoil velocities
• Effects of post-Newtonian Spin Alignment on the Distribution of Black-Hole Recoils
• Recoiling from a kick in the head-on collision of spinning black holes
• Resonantly enhanced kicks from equatorial small mass-ratio inspirals
• Supermassive Black Hole Binaries: The Search Continues
• Modeling Gravitational Recoil Using Numerical Relativity
• Resonant recoil in extreme mass ratio binary black hole mergers
• Multipole Analysis of Kicks in Collision of Binary Black Holes
• Statistical constraints on binary black hole inspiral dynamics
• Perturbative effects of spinning black holes with applications to recoil velocities

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• Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
• The SXS Collaboration catalog of binary black hole simulations
• Surrogate models for precessing binary black hole simulations with unequal masses
• Candidate Electromagnetic Counterpart to the Binary Black Hole Merger Gravitational Wave Event S190521g
• Are merging black holes born from stellar collapse or previous mergers?
• The final spin from binary black holes in quasi-circular orbits
• Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
• Directly comparing GW150914 with numerical solutions of Einstein's equations for binary black hole coalescence
• High-accuracy mass, spin, and recoil predictions of generic black-hole merger remnants
• The RIT binary black hole simulations catalog
• The detection rate of Inspiral and Quasi-normal modes of Pop III binary black holes which can confirm or refute the General Relativity in the strong gravity region
• Remnant of binary black-hole mergers: New simulations and peak luminosity studies
• Black Hole Coagulation: Modeling Hierarchical Mergers in Black Hole Populations
• PRECESSION: Dynamics of spinning black-hole binaries with python
• The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
• Numerical Relativity of Compact Binaries in the 21st Century
• The Third RIT binary black hole simulations catalog
• Extracting the Gravitational Recoil from Black Hole Merger Signals
• Black-hole kicks from numerical-relativity surrogate models
• Signatures of the Many Supermassive Black Hole Mergers in a Cosmologically Forming Massive Early-Type Galaxy
• GW150914-like Black Holes as Galactic High-Energy Sources
• Compact binary coalescences: The subtle issue of angular momentum
• Kicking gravitational wave detectors with recoiling black holes
• Targeted numerical simulations of binary black holes for GW170104
• Optical Emission Model for Binary Black Hole Merger Remnants Travelling through Discs of Active Galactic Nuclei
• The nonspinning binary black hole merger scenario revisited
• KETJU -- resolving small-scale supermassive black hole dynamics in GADGET-4
• BIFROST: simulating compact subsystems in star clusters using a hierarchical fourth-order forward symplectic integrator code
• Amplification of superkicks in black-hole binaries through orbital eccentricity
• Modelling the accretion and feedback of supermassive black hole binaries in gas-rich galaxy mergers
• Structure formation with primordial black holes: collisional dynamics, binaries, and gravitational waves
• A rapid channel for the collisional formation and gravitational wave driven mergers of supermassive black hole seeds at high redshift
• Gravitational Wave Beacons
• Application of the third RIT binary black hole simulations catalog to parameter estimation of gravitational waves signals from the LIGO-Virgo O1/O2 observational runs
• Repeated mergers of black hole binaries: implications for GW190521
• The supermassive black hole merger driven evolution of high-redshift red nuggets into present-day cored early-type galaxies
• Possible confirmation of the existence of ergoregion by the Kerr quasinormal mode in gravitational waves from Pop III massive black hole binary
• Modeling the Black hole Merger of QSO 3C 186
• RABBITS -- II. The impact of AGN feedback on coalescing supermassive black holes in disc and elliptical galaxy mergers
• Black Hole Spin Axis in Numerical Relativity
• Identifying supermassive black hole recoil in elliptical galaxies
• A Parallel Adaptive Event Horizon Finder for Numerical Relativity
• Characterizing the effect of eccentricity on the dynamics of binary black hole mergers in numerical relativity
• Optimizing Neural Network Surrogate Models: Application to Black Hole Merger Remnants
• Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state
• Merging Black Holes: Assessing the Performance of Two Analytic Gravitational Waves Models
• 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
• Final velocity and radiated energy in numerical simulations of binary black holes
• FROST-CLUSTERS -- III. Metallicity-dependent intermediate mass black hole formation by runaway collisions in dense star clusters
• The Fourth RIT binary black hole simulations catalog: Extension to Eccentric Orbits
• The influence of the mean anomaly on the dynamical quantities of binary black hole mergers in eccentric orbits
• On the Linear Regime of the Characteristic formulation of General relativity in the Minkowski and Schwarzschild's Backgrounds