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Detecting stochastic gravitational waves with binary resonance

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Original languageEnglish
Article number064021
JournalPhysical Review D
Volume105
Issue number6
DOIs
Published15 Mar 2022

Bibliographical note

Funding Information: A. C. J. thanks Andrew Pontzen for interesting discussions related to this work. We acknowledge the use of numpy and scipy in producing the numerical solutions in Figs. and . Figures were produced using matplotlib , while Fig. was produced using corner . py . A. C. J. was supported by King’s College London through a Graduate Teaching Scholarship. D. B. is supported by a “Ayuda Beatriz Galindo Senior” from the Spanish “Ministerio de Universidades,” Grant No. BG20/00228. D. B. acknowledges support from the Fundación Jesus Serra and the Instituto de Astrofísica de Canarias under the Visiting Researcher Programme 2021 agreed between both institutions. Publisher Copyright: © 2022 American Physical Society.

King's Authors

Abstract

LIGO and Virgo have initiated the era of gravitational-wave (GW) astronomy; but in order to fully explore GW frequency spectrum, we must turn our attention to innovative techniques for GW detection. One such approach is to use binary systems as dynamical GW detectors by studying the subtle perturbations to their orbits caused by impinging GWs. We present a powerful new formalism for calculating the orbital evolution of a generic binary coupled to a stochastic background of GWs, deriving from first principles a secularly-averaged Fokker-Planck equation which fully characterizes the statistical evolution of all six of the binary's orbital elements. We also develop practical tools for numerically integrating this equation, and derive the necessary statistical formalism to search for GWs in observational data from binary pulsars and laser-ranging experiments.

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