A Caltech Library Service

Frequency-domain waveform approximants capturing Doppler shifts

Chamberlain, Katie and Moore, Christopher J. and Gerosa, Davide and Yunes, Nicolás (2019) Frequency-domain waveform approximants capturing Doppler shifts. Physical Review D, 99 (2). Art. No. 024025. ISSN 2470-0010. doi:10.1103/physrevd.99.024025.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Gravitational-wave astrophysics has only just begun, and as current detectors are upgraded and new detectors are built, many new, albeit faint, features in the signals will become accessible. One such feature is the presence of time-dependent Doppler shifts, generated by the acceleration of the center of mass of the gravitational-wave emitting system. We here develop a generic method that takes a frequency-domain, gravitational-wave model devoid of Doppler shifts and introduces modifications that incorporate them. Building upon a perturbative expansion that assumes the Doppler-shift velocity is small relative to the speed of light, the method consists of the inclusion of a single term in the Fourier phase and two terms in the Fourier amplitude. We validate the method through matches between waveforms with a Doppler shift in the time domain and waveforms constructed with our method for two toy problems: constant accelerations induced by a distant third body and Gaussian accelerations that resemble a kick profile. We find mismatches below ∼10^(-6) for all of the astrophysically relevant cases considered and that improve further at smaller velocities. The work presented here will allow for the use of future detectors to extract new, faint features in the signal from the noise.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Gerosa, Davide0000-0002-0933-3579
Yunes, Nicolás0000-0001-6147-1736
Additional Information:© 2019 American Physical Society. Received 12 September 2018; published 15 January 2019. We thank Riccardo Barbieri, Ulrich Sperhake, Ron Tso, and Kaze Wong for fruitful discussions. K. C. acknowledges support from the LIGO SURF program at Caltech through NSF Grant No. PHY-1460838. D. G. is supported by NASA through Einstein Postdoctoral Fellowship Grant No. PF6-170152 by the Chandra X-ray Center, operated by the Smithsonian Astrophysical Observatory for NASA under Contract No. NAS8- 03060. C. J. M. acknowledges financial support from European Union’s H2020 ERC Consolidator Grant “Matter and strong-field gravity: New frontiers in Einstein’s theory” Grant Agreement No. MaGRaTh– 646597 and European Union’s H2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 690904. N. Y. acknowledges support from NSF CAREER Grant No. PHY-1250636 and NASA Grants No. NNX16AB98G and No. 80NSSC17M0041.
Funding AgencyGrant Number
NASA Einstein FellowshipPF6-170152
European Research Council (ERC)646597
Marie Curie Fellowship690904
Issue or Number:2
Record Number:CaltechAUTHORS:20190115-141917138
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92292
Deposited By: Tony Diaz
Deposited On:16 Jan 2019 04:41
Last Modified:16 Nov 2021 03:48

Repository Staff Only: item control page