Binary black hole merger in the extreme mass ratio limit

Details Binary black hole merger in the extreme mass ratio limit Binary black hole merger in the extreme mass ratio limit

2006-12-15

arxiv.org/abs/gr-qc/0612096v2

Class.Quant.Grav.24:S109-S124,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, six figures. Revised version. To appear in the CQG special issue based around New Frontiers in Numerical Relativity

Scientific paper

10.1088/0264-9381/24/12/S08

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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