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Quasimonochromatic LISA Sources in the Frequency Domain

ORAL

Abstract

Among the binary sources of interest for LISA some are quasimonochromatic, in the sense that the change in the gravitational wave frequency △f is on the order of or smaller than 1 yr-1 during the observation time. For example, most Galactic double white dwarfs fall into this category. For these sources, we revisit the stationary phase approximation (SPA) commonly used in Fisher matrix calculations in the frequency domain and show how it is modified by the Doppler shift induced by LISA's motion and by the LISA pattern functions. We compare our results with previous work in the time domain and discuss the transition from the quasimonochromatic case to the conventional SPA which applies in the opposite limit, i.e. △f is on the order of or higher than 1 yr-1.

* The authors are supported by NSF Grants No. AST-2006538, PHY-2207502, PHY-090003 and PHY-20043, by NASA Grants No. 20-LPS20-0011 and 21-ATP21-0010, by the John Templeton Foundation Grant 62840, and by the Simons Foundation. The authors acknowledge support from the ITA-USA Science and Technology Cooperation program supported by the Ministry of Foreign Affairs of Italy (MAECI) and from the Indo-US Science and Technology Forum through the Indo-US Centre for Gravitational-Physics and Astronomy, grant IUSSTF/JC-142/2019. This work was carried out at the Advanced Research Computing at Hopkins (ARCH) core facility (rockfish.jhu.edu), which is supported by the NSF Grant No. OAC-1920103.

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Publication: arXiv.org: 2312.00121

Presenters

  • Vladimir Strokov

    Johns Hopkins University

Authors

  • Vladimir Strokov

    Johns Hopkins University

  • Emanuele Berti

    Johns Hopkins University