An experiment in Low Earth Orbit (LEO) is proposed to measure components of the Riemann curvature tensor using atom interferometry. We show that the difference in the quantum phase Δϕ of an atom that can travel along two intersecting geodesics is given by mR 0i0j /ℏ times the spacetime volume contained within the geodesics. Our expression for Δϕ also holds for gravitational waves in the long wavelength limit.
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Chiao et al. (2003) studied this question.
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