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Binary black hole merger waveforms in the extreme mass ratio limit

Thibault Damour·Alessandro Nagar
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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 $m_1m_2\ll (m_1+m_2)^2$. In this limit, we compare the merger waveforms obtained by two different methods: a {\it numerical} (Regge-Wheeler-Zerilli) one, and an {\it analytical} (Effective One Body) one. This is viewed as a contribution to the matching between analytical and numerical methods.

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Thibault Damour, Alessandro Nagar. 2007-02-09. Binary black hole merger waveforms in the extreme mass ratio limit. https://arxiv.org/abs/gr-qc/0612151

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