Dilaton Solutions for Laboratory Constraints and Lunar Laser Ranging
arXiv:2203.12512 · doi:10.1140/epjc/s10052-022-10905-w
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.
14 pages, 4 figures
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- The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
- Frequency shifts induced by light scalar fields
- Dilaton generation in propagation of magnetic dipole waves of pulsar in a galactic magnetic field
- Dynamical Casimir effect with screened scalar fields
- Green's function analysis of the Neutron Lloyd interferometer
- Equivalence of scalar-tensor theories and scale-dependent gravity
- Quantum and thermal pressures from light scalar fields
- Solar System Experiments in the Search for Dark Energy and Dark Matter
- Structural Implications of the Chameleon Mechanism on White Dwarfs