Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion

Abstract

We improve the effective-one-body (EOB) description of nonspinning coalescing black hole binaries by incorporating several recent analytical advances, notably: (i) logarithmic contributions to the conservative dynamics; (ii) resummed horizon-absorption contribution to the orbital angular momentum loss; and (iii) a specific radial component of the radiation reaction force implied by consistency with the azimuthal one. We then complete this analytically improved EOB model by comparing it to accurate numerical relativity (NR) simulations performed by the Caltech-Cornell-CITA group for mass ratios $q=(1,2,3,4,6)$. In particular, the comparison to NR data allows us to determine with high-accuracy ($\sim 10^{-4}$) the value of the main EOB radial potential: $A(u;\nu )$, where $u=GM/(R{c}^2)$ is the inter-body gravitational potential and $\nu =q/(q+1{)}^2$ is the symmetric mass ratio. We introduce a new technique for extracting from NR data an intrinsic measure of the phase evolution, ($Q_{\omega }(\omega )$ diagnostics). Aligning the NR-completed EOB quadrupolar waveform and the NR one at low frequencies, we find that they keep agreeing (in phase and amplitude) within the NR uncertainties throughout the evolution for all mass ratios considered. We also find good agreement for several subdominant multipoles without having to introduce and tune any extra parameters.

42 pages, 22 figures. Improved version, to appear in Phys. Rev. D. The EOB code will be freely available at eob.ihes.fr

References in corpus (30)

• Inspiral, merger and ring-down of equal-mass black-hole binaries
• 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
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• 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
• Solving Einstein's Equations With Dual Coordinate Frames
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Tidal effects in binary neutron star coalescence
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Hyperboloidal foliations and scri-fixing
• High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
• 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
• The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
• Analytic modelling of tidal effects in the relativistic inspiral of binary neutron stars
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
• Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
• Final spin of a coalescing black-hole binary: an Effective-One-Body approach
• Accuracy and effectualness of closed-form, frequency-domain waveforms for non-spinning black hole binaries
• Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
• Gravitational-Wave Extraction from Neutron Star Oscillations: comparing linear and nonlinear techniques
• How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?
• Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity