Merger states and final states of black hole coalescences: a numerical-relativity-assisted effective-one-body approach

Abstract

We study to what extent the effective-one-body description of the dynamical state of a nonspinning, coalescing binary black hole (considered either at merger, or after ringdown) agrees with numerical relativity results. This comparison uses estimates of the integrated losses of energy and angular momentum during ringdown, inferred from recent numerical-relativity data. We find that the values, predicted by the effective-one-body formalism, of the energy and angular momentum of the system agree at the per mil level with their numerical-relativity counterparts, both at merger and in the final state. This gives a new confirmation of the ability of effective-one-body theory to accurately describe the dynamics of binary black holes even in the strong-gravitational-field regime. Our work also provides predictions (and analytical fits) for the final mass and the final spin of coalescing black holes for all mass ratios

10 pages, 4 figures. Submitted to Phys. Rev. D

References in corpus (22)

• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Phenomenological template family for black-hole coalescence waveforms
• High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-spinning, equal-mass black holes
• An improved analytical description of inspiralling and coalescing black-hole binaries
• On the final spin from the coalescence of two black holes
• Tidal effects in binary neutron star coalescence
• A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• The final mass and spin of black hole mergers
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Faithful Effective-One-Body waveforms of equal-mass coalescing black-hole binaries
• Binary black hole merger in the extreme mass ratio limit
• Orbital Evolution of Extreme-Mass-Ratio Black-Hole Binaries with Numerical Relativity
• Intermediate-mass-ratio black hole binaries: intertwining numerical and perturbative techniques
• Final spin of a coalescing black-hole binary: an Effective-One-Body approach
• Periastron advance in spinning black hole binaries: comparing effective-one-body and Numerical Relativity
• Modeling maximum astrophysical gravitational recoil velocities
• Complete phenomenological gravitational waveforms from spinning coalescing binaries

Cited by in corpus (7)

• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Energetics and phasing of nonprecessing spinning coalescing black hole binaries
• A new analytic representation of the ringdown waveform of coalescing spinning black hole binaries
• Accuracy of binary black hole waveform models for aligned-spin binaries
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
• The general relativistic two body problem