Influence of cosmological expansion in local experiments

Abstract

Whether the cosmological expansion can influence the local dynamics, below the galaxy clusters scale, has been the subject of intense investigations in the past three decades. In this work, we consider McVittie and Kottler spacetimes, embedding a spherical object in a FLRW spacetime. We calculate the influence of the cosmological expansion on the frequency shift of a resonator and estimate its effect on the exchange of light signals between local observers. In passing, we also clarify some of the statements made in the literature.

20+11 pages, 1 figure, version close to the one published

References in corpus (13)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
• Solar system effects in Schwarzschild--de Sitter spacetime
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• Two-body problem with the cosmological constant and observational constraints
• Cosmological perturbations on local systems
• Particle and photon orbits in McVittie spacetimes
• General Transformation Formulas for Fermi-Walker Coordinates
• On the construction of Fermi-Walker transported frames
• On Doppler tracking in cosmological spacetimes
• Synchrotron geodesic radiation in Schwarzschild-de Sitter spacetime
• Optical cavity resonator in an expanding universe