paper

A new analytic representation of the ringdown waveform of coalescing spinning black hole binaries

arXiv:1406.0401 · doi:10.1103/PhysRevD.90.024054

Abstract

We propose a new way of analyzing, and analytically representing, the ringdown part of the gravitational wave signal emitted by coalescing black hole binaries.By contrast with the usual {\it linear} decomposition of the multipolar complex waveform in a sum of quasi-normal modes, our procedure relies on a {\it multiplicative} decomposition of as the product of the fundamental quasi-normal mode with a remaining time-dependent complex factor whose amplitude and phase are separately fitted. As an illustrative example, we apply our analysis and fitting procedure to the ringdown part of a sample of sixteen equal-mass, spinning, nonprecessing, numerical waveforms computed with the SPC code,now publicly available in the SXS catalogue. Our approach yields an efficient and accurate way to represent the ringdown waveform, thereby offering a new way to complete the analytical effective-one-body inspiral-plus-plunge waveform.

7 pages, 7 figures. Results improved with respect to first version. To appear in Phys. Rev. D

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