Gravitational waveforms for precessing, quasicircular compact binaries with multiple scale analysis: Small spin expansion

Katerina Chatziioannou, Antoine Klein, Nicolás Yunes, Neil Cornish

Research output: Contribution to journalArticlepeer-review

Abstract

We obtain analytical gravitational waveforms in the frequency domain for precessing, quasicircular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution to the precession equations, obtained by expanding in the dimensionless spin parameters and using multiple-scale analysis to separate time scales. We proceed by analytically computing the Fourier transform of time-domain waveform through the stationary phase approximation. We show that the latter is valid for systems with small spins. Finally, we show that these waveforms have a high overlap with numerical waveforms obtained through direct integration of the precession equations and discrete Fourier transformations. The resulting, analytic waveform family is ideal for detection and parameter estimation of gravitational waves emitted by inspiraling binary neutron stars with ground-based detectors.

Original languageEnglish (US)
Article number063011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number6
DOIs
StatePublished - Sep 27 2013
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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