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Matched filtering of numerical relativity templates of spinning binary black holes

Birjoo Vaishnav, Ian Hinder, and Frank Herrmann

Deirdre Shoemaker

  • Center for Gravitational Wave Physics, Penn State, University Park, Pennsylvania 16802, USA

  • Center for Gravitational Wave Physics, Institute of Gravitational Physics and Geometry, Department of Physics, Penn State, University Park, Pennsylvania 16802, USA

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Phys. Rev. D 76, 084020 – Published 18 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.084020

Abstract

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test beds for analytic template banks or as template banks themselves. As the parameter space explored by numerical relativity expands, the importance of quantifying the effect that each parameter has on first the detection of gravitational waves and then the parameter estimation of their sources increases. In light of this, we present a study of equal-mass, spinning binary-black-hole evolutions through matched filtering techniques commonly used in data analysis. We study how the match between two numerical waveforms varies with numerical resolution, initial angular momentum of the black holes, and the inclination angle between the source and the detector. This study is limited by the fact that the spinning black-hole binaries are oriented axially and the waveforms only contain approximately two and a half orbits before merger. We find that for detection purposes, spinning black holes require the inclusion of the higher harmonics in addition to the dominant mode, a condition that becomes more important as the black-hole spins increase. In addition, we conduct a preliminary investigation of how well a template of fixed spin and inclination angle can detect target templates of arbitrary but nonprecessing spin and inclination for the axial case considered here.

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Phys. Rev. D 76, 084020– Published 18 October, 2007
  • Received 13 June 2007

© 2007 American Physical Society

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