Intermediate-mass-ratio black hole binaries II: Modeling Trajectories and Gravitational Waveforms
arXiv:1108.4421 · doi:10.1103/PhysRevD.84.124006
Abstract
We revisit the scenario of small-mass-ratio (q) black-hole binaries; performing new, more accurate, simulations of mass ratios 10:1 and 100:1 for initially nonspinning black holes. We propose fitting functions for the trajectories of the two black holes as a function of time and mass ratio (in the range 1/100 < q < 1/10$) that combine aspects of post-Newtonian trajectories at smaller orbital frequencies and plunging geodesics at larger frequencies. We then use these trajectories to compute waveforms via black hole perturbation theory. Using the advanced LIGO noise curve, we see a match of ~99.5% for the leading (l,m)=(2,2) mode between the numerical relativity and perturbative waveforms. Nonleading modes have similarly high matches. We thus prove the feasibility of efficiently generating a bank of gravitational waveforms in the intermediate-mass-ratio regime using only a sparse set of full numerical simulations.
23 pages, 35 figures, revtex4
References in corpus (21)
- 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
- Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
- An improved analytical description of inspiralling and coalescing black-hole binaries
- High-spin binary black hole mergers
- Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
- Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
- Orbital Evolution of Extreme-Mass-Ratio Black-Hole Binaries with Numerical Relativity
- Foundations of multiple black hole evolutions
- Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
- Intermediate-mass-ratio black hole binaries: intertwining numerical and perturbative techniques
- Modeling gravitational recoil from precessing highly-spinning unequal-mass black-hole binaries
- Time Step Size Limitation Introduced by the BSSN Gamma Driver
- Modelling the final state from binary black-hole coalescences
- A practical formula for the radiated angular momentum
- Black hole puncture initial data with realistic gravitational wave content
- How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?
- Dynamical damping terms for symmetry-seeking shift conditions
- Transition from adiabatic inspiral to plunge into a spinning black hole
- Seeking for toroidal event horizons from initially stationary BH configurations
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- Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
- The final spin from binary black holes in quasi-circular orbits
- Remnant mass, spin, and recoil from spin aligned black-hole binaries
- On the mass radiated by coalescing black-hole binaries
- Simulations of non-equal mass black hole binaries with spectral methods
- Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy
- The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
- Modeling multipolar gravitational-wave emission from small mass-ratio mergers
- Numerical Relativity of Compact Binaries in the 21st Century
- Self-force via -mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
- The NINJA-2 project: Detecting and characterizing gravitational waveforms modelled using numerical binary black hole simulations
- Impact of Higher-order Modes on the Detection of Binary Black Hole Coalescences
- GRAthena++: puncture evolutions on vertex-centered oct-tree AMR
- Accuracy Issues for Numerical Waveforms
- Experimental mathematics meets gravitational self-force
- New Kludge Scheme for the Construction of Approximate Waveforms for Extreme-Mass-Ratio Inspirals
- Black hole binary inspiral: Analysis of the plunge
- Exploring the Outer Limits of Numerical Relativity
- Upgraded waveform model of eccentric binary black hole based on effective-one-body-numerical-relativity for spin-aligned binary black holes
- The nonspinning binary black hole merger scenario revisited
- Studies of waveform requirements for intermediate mass-ratio coalescence searches with advanced detectors
- Hybrid method for understanding black-hole mergers: Inspiralling case
- Study of Conformally Flat Initial Data for Highly Spinning Black Holes and their Early Evolutions
- A note on gravitational wave extraction from binary simulations
- Accurate modeling of intermediate-mass-ratio inspirals: Exploring the form of the self-force in the intermediate-mass-ratio regime
- Second MAYA Catalog of Binary Black Hole Numerical Relativity Waveforms
- Interplay between numerical relativity and perturbation theory : finite size effects
- Self-forced evolutions of an implicit rotating source: A natural framework to model comparable and intermediate mass-ratio systems from inspiral through ringdown
- Interplay between numerical-relativity and black hole perturbation theory in the intermediate-mass-ratio regime
- Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques
- Gravitational wave recoils in non-axisymmetric Robinson-Trautman spacetimes
- Comparing numerical relativity and perturbation theory waveforms for a non-spinning equal-mass binary
- Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits