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Constraining the propagation speed of gravitational waves with compact binaries at cosmological distances

Nishizawa, Atsushi (2016) Constraining the propagation speed of gravitational waves with compact binaries at cosmological distances. Physical Review D, 93 (12). Art. No. 124036. ISSN 2470-0010. http://resolver.caltech.edu/CaltechAUTHORS:20160616-074957352

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Abstract

When testing gravity in a model-independent way, one of the crucial tests is measuring the propagation speed of a gravitational wave (GW). In general relativity, a GW propagates with the speed of light, while in the alternative theories of gravity, the propagation speed could deviate from the speed of light due to the modification of gravity or spacetime structure at a quantum level. Previously, we proposed a method to measure the GW speed by directly comparing the arrival times between a GW and a photon from the binary merger of neutron stars or a neutron star and black hole, assuming that it is associated with a short gamma-ray burst. The sensitivity is limited by the intrinsic time delay between a GW and a photon at the source. In this paper, we extend the method to distinguish the intrinsic time delay from the true signal caused by anomalous GW speed with multiple events at cosmological distances, considering the redshift distribution of GW sources, redshift-dependent GW propagation speed, and the statistics of intrinsic time delays. We show that an advanced GW detector such as the Einstein Telescope will be able to robustly constrain the GW propagation speed at a precision of ∼10^(−16). We also discuss the optimal statistic to measure the GW speed by performing numerical simulations.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.93.124036DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.93.124036PublisherArticle
https://arxiv.org/abs/1601.01072arXivDiscussion Paper
ORCID:
AuthorORCID
Nishizawa, Atsushi0000-0003-3562-0990
Additional Information:© 2016 American Physical Society. Received 3 February 2016; published 15 June 2016. The author would like to thank G. Ballesteros, Y. Fan, J. B. Jimenez, E. Malec, and J. D. Tasson for valuable comments. A. N. was supported by JSPS Postdoctoral Fellowships for Research Abroad and National Science Foundation Career Grant No. PHY-1055103.
Funders:
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)UNSPECIFIED
NSFPHY-1055103
Record Number:CaltechAUTHORS:20160616-074957352
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160616-074957352
Official Citation:Constraining the propagation speed of gravitational waves with compact binaries at cosmological distances Atsushi Nishizawa Phys. Rev. D 93, 124036
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67961
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Jun 2016 19:53
Last Modified:29 Nov 2016 19:19

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