2020
DOI: 10.1088/1361-6382/abb260
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Can we use next-generation gravitational wave detectors for terrestrial precision measurements of Shapiro delay?

Abstract: Shapiro time delay is one of the fundamental tests of general relativity and post-Newtonian theories of gravity. Consequently, its measurements can be used to probe the parameter γ which is related to spacetime curvature produced by a unit mass in the post-Newtonian formalism of gravity. To date all measurements of time delay have been conducted on astronomical scales. It was asserted in 2010 that gravitational wave detectors on Earth could be used to measure Shapiro delay on a terrestrial scale via massive ro… Show more

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Cited by 6 publications
(2 citation statements)
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“…AE2 aims to detect displacement amplitudes under 10 −24 m in a decade's worth of observation time. This sensitivity rivals that of proposed next-generation ground-based detectors (Abbott et al 2017a;Reitze et al 2019;Sullivan et al 2020), and would be very difficult to achieve in space-based detectors. Since we prescribe AE to have 4.6 AU arm-lengths, the factor 𝜆 3 𝑃𝐷 4 𝑜 in Equation ( 17) for AE2 must be reduced by a factor of 10 15 from LISA.…”
Section: Metrology Noisementioning
confidence: 85%
“…AE2 aims to detect displacement amplitudes under 10 −24 m in a decade's worth of observation time. This sensitivity rivals that of proposed next-generation ground-based detectors (Abbott et al 2017a;Reitze et al 2019;Sullivan et al 2020), and would be very difficult to achieve in space-based detectors. Since we prescribe AE to have 4.6 AU arm-lengths, the factor 𝜆 3 𝑃𝐷 4 𝑜 in Equation ( 17) for AE2 must be reduced by a factor of 10 15 from LISA.…”
Section: Metrology Noisementioning
confidence: 85%
“…Additionally, future iterations of this instrument may allow novel gravitational experiments such as searches for non-Newtonian gravity [54], terrestrial measurements of Shapiro delay [55,56], and measurements of the gravitational constant [57]. The authors would like to thank Peter Fritschel, Zsuzsanna Marka, Szabolcs Marka, and Dimitri Estevez for their helpful comments.…”
Section: Discussionmentioning
confidence: 99%