pith. sign in

arxiv: 0705.2519 · v2 · submitted 2007-05-17 · 🌀 gr-qc

Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries

classification 🌀 gr-qc
keywords waveformsanalyticwaveformplungebinarycoalescingdescriptionduring
0
0 comments X
read the original abstract

We address the problem of constructing high-accuracy, faithful analytic waveforms describing the gravitational wave signal emitted by inspiralling and coalescing binary black holes. We work within the Effective-One-Body (EOB) framework and propose a methodology for improving the current (waveform)implementations of this framework based on understanding, element by element, the physics behind each feature of the waveform, and on systematically comparing various EOB-based waveforms with ``exact'' waveforms obtained by numerical relativity approaches. The present paper focuses on small-mass-ratio non-spinning binary systems, which can be conveniently studied by Regge-Wheeler-Zerilli-type methods. Our results include: (i) a resummed, 3PN-accurate description of the inspiral waveform, (ii) a better description of radiation reaction during the plunge, (iii) a refined analytic expression for the plunge waveform, (iv) an improved treatment of the matching between the plunge and ring-down waveforms. This improved implementation of the EOB approach allows us to construct complete analytic waveforms which exhibit a remarkable agreement with the ``exact'' ones in modulus, frequency and phase. In particular, the analytic and numerical waveforms stay in phase, during the whole process, within $\pm 1.1 %$ of a cycle. We expect that the extension of our methodology to the comparable-mass case will be able to generate comparably accurate analytic waveforms of direct use for the ground-based network of interferometric detectors of gravitational waves.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Highly eccentric non-spinning binary black hole mergers: quadrupolar post-merger waveforms

    gr-qc 2026-04 unverdicted novelty 7.0

    Polynomial models for the (2,2) post-merger waveform amplitudes of eccentric non-spinning binary black holes are constructed from numerical-relativity data as functions of symmetric mass ratio and two merger-time dyna...

  2. Gravitational Sommerfeld Effects: Formalism, Renormalization, and Perturbation to $O(G^{10})$

    hep-th 2026-04 unverdicted novelty 7.0

    Closed-form Sommerfeld factor via EFT connection matrix with analytic O(G^10) magnitude and phase for l=0,1,2 waves, plus a new RG equation for radiative multipole moments that improves waveform resummation beyond tai...

  3. Black hole mergers beyond general relativity: a self-force approach

    gr-qc 2025-10 unverdicted novelty 7.0

    Self-force theory is extended to compute merger and ringdown waveforms in beyond-GR black hole binaries under the extreme mass-ratio approximation, with first calculations of self-force corrections to the merger waveform.

  4. Resummation of Universal Tails in Gravitational Waveforms

    hep-th 2025-04 unverdicted novelty 7.0

    A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

  5. Plunge-Merger-Ringdown Tests of General Relativity with GW250114

    gr-qc 2026-01 unverdicted novelty 6.0

    GW250114 data constrains GR deviations in merger amplitude to 10% and frequency to 4% at 90% CL, with first bounds on the (4,4) mode frequency at 6%.

  6. Gravitational Wave Hyperbolic Catalog: Reanalyzing High-Mass Gravitational Wave Signals Using Hyperbolic Waveforms

    gr-qc 2026-05 unverdicted novelty 4.0

    Reanalysis finds GW190521 prefers hyperbolic waveforms over quasi-circular precessing ones with ln Bayes factor 3.71, while other high-mass events and GW231123 favor the latter; mock signals indicate distinguishabilit...

  7. Quasinormal modes of black holes and black branes

    gr-qc 2009-05 unverdicted novelty 2.0

    Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...