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Binary black hole merger in the extreme mass ratio limit

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arxiv gr-qc/0612096 v2 pith:L5QWTTM5 submitted 2006-12-15 gr-qc

Binary black hole merger in the extreme mass ratio limit

Alessandro Nagar , Thibault Damour , Angelo Tartaglia This is my paper
classification gr-qc
keywords massblackapproachbinarydynamicseffectiveequivextreme
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In the spirit of the Effective One Body (EOB) approach to the general relativistic dynamics of binary systems, the dynamics of the two black hole system is represented in terms of an effective particle of mass $\mu\equiv m_1m_2/(m_1+m_2)$ moving in a (quasi-)Schwarzschild background of mass $M\equiv m_1+m_2$ and submitted to an ${\cal O}(\mu)$ radiation reaction force defined by Pad\'e resumming high-order Post-Newtonian results. We then complete this approach by numerically computing, \`a la Regge-Wheeler-Zerilli, the gravitational radiation emitted by such a particle. Several tests of the numerical procedure are presented. We focus on gravitational waveforms and the related energy and angular momentum losses. We view this work as a contribution to the matching between analytical and numerical methods within an EOB-type framework.

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Cited by 4 Pith papers

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

  1. Foundations of Direct Waves in Schwarzschild Ringdown

    gr-qc 2026-07 accept novelty 7.0

    Direct waves in filtered Schwarzschild ringdown are the anti-causal filter-pole contribution sourced by near-horizon trajectory dynamics and do not vanish.

  2. Vanishing of all redshift modes in Schwarzschild ringdown

    gr-qc 2026-06 unverdicted novelty 7.0

    All redshift-mode contributions to Schwarzschild black-hole ringdown waveforms vanish exactly because causality forces the source-integrated Green function to vanish on the light cone.

  3. Dynamical quasinormal mode excitation II: propagation and convergence in Schwarzschild

    gr-qc 2026-05 unverdicted novelty 5.0

    Refined propagation prescription for quasinormal modes excited by plunging particles confirms a bounce radius at r_*=0 and yields accurate reproduction of the post-bounce oscillatory waveform component from first principles.

  4. Green function of the P\"{o}schl-Teller potential

    gr-qc 2025-10 unverdicted novelty 5.0

    Exact time-domain Green function computed for the Pöschl-Teller approximation to black-hole perturbation potentials, revealing additional early-time exponentially growing modes and a light-cone plus historical wavefor...