Dilaton Solutions for Laboratory Constraints and Lunar Laser Ranging
General Relativity and Quantum Cosmology
2022-10-24 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Abstract
We derive approximate analytical solutions to the environment-dependent dilaton field theory equations in the presence of a one or two mirror system or a sphere. The one-dimensional equations of motion are integrated for each system. The solutions obtained herein can be applied to \textit{q}BOUNCE experiments, neutron interferometry and for the calculation of the dilaton field induced "Casimir force" in the \textsc{Cannex} experiment as well as for Lunar Laser Ranging. They are typical of the Damour-Polyakov screening mechanism whereby deviations from General Relativity are suppressed by a vanishingly small direct coupling of the dilaton to matter in dense environments.
Keywords
Cite
@article{arxiv.2203.12512,
title = {Dilaton Solutions for Laboratory Constraints and Lunar Laser Ranging},
author = {Philippe Brax and Hauke Fischer and Christian Käding and Mario Pitschmann},
journal= {arXiv preprint arXiv:2203.12512},
year = {2022}
}
Comments
14 pages, 4 figures