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The analyses of high precision astrometric surveys, such as Gaia, implicitlyassume a modern version of Mach's Principle: the local inertial frame of ourSolar System should be non-rotating in the frame of distant quasars. On thecontrary, Einstein's General Relativity allows a rotating universe. Thus,relaxing the assumption of Mach's Principle will allow placing a constraint ona class of rotating cosmologies by comparing high precision astrometry ofquasars with well-measured solar system orbits. Constraining global rotationwill test General Relativity, inflation, and the isotropy of cosmologicalinitial conditions.

Constraining Mach's principle with high precision astrometry