Binary black hole merger in the extreme mass ratio limit

Abstract

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 $m_1{m}_2\ll (m_1+m_2{)}^2$. 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 $\mu \equiv m_1{m}_2/(m_1+m_2)$ moving in a (quasi-)Schwarzschild background of mass $M\equiv m_1+m_2$ and submitted to an $\mathcal{O}(\mu )$ radiation reaction force defined by Padé resumming high-order Post-Newtonian results. We then complete this approach by numerically computing, à 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.

14 pages, six figures. Revised version. To appear in the CQG special issue based around New Frontiers in Numerical Relativity conference, Golm (Germany), July 17-21 2006

References in corpus (5)

• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Consistency of post-Newtonian waveforms with numerical relativity
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Spin-orbit interactions in black-hole binaries
• Binary black hole late inspiral: Simulations for gravitational wave observations

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