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GR: Fachverband Gravitation und Relativitätstheorie
GR 6: Cosmology
GR 6.4: Talk
Tuesday, March 22, 2022, 17:15–17:35, GR-H3
Influence of cosmological expansion in local experiments — •Felix Spengler1, Alessio Belenchia1,2, Dennis Rätzel3, and Daniel Braun1 — 1Intitut für theoretische Physik, Universität Tübingen, Tübingen, Germany — 2Centre for Theoretical Atomic, Molecular, and Optical Physics, School of Mathematics and Physics, Queens University, Belfast, United Kingdom — 3Humboldt Universität zu Berlin, Institut für Physik, Berlin, Germany
Whether the cosmological expansion can influence the local dynamics, below the galaxy clusters scale,has been the subject of intense investigations. We consider McVittie and Kottler spacetimes, embedding a spherical object in an expanding Friedmann-Lemaître-Robertson-Walker spacetime as a rough approximation of a local environment immersed in a globally expanding universe. We then calculate the influence of the cosmological expansion on the frequency shift of a resonator moving along different trajectories and estimate its effect on the exchange of light signals between local observers. Our results show the impact of the global expansion on these local experiments and give and upper estimate on the effects we can expect in more realistic conditions below the galaxy clusters scale.