The shape dependence of chameleon screening

Abstract

Chameleon scalar fields can screen their associated fifth forces from detection by changing their mass with the local density. These models are an archetypal example of a screening mechanism, and have become an important target for both cosmological surveys and terrestrial experiments. In particular there has been much recent interest in searching for chameleon fifth forces in the laboratory. It is known that the chameleon force is less screened around non-spherical sources, but only the field profiles around a few simple shapes are known analytically. In this work we introduce a numerical code that solves for the chameleon field around arbitrary shapes with azimuthal symmetry placed in a spherical vacuum chamber. We find that deviations from spherical symmetry can increase the chameleon acceleration experienced by a test particle by up to a factor of $\sim 3$, and that the least screened objects are those which minimize some internal dimension.

15 pages, 6 figures. Minor changes to match published version

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• Fifth-Force Screening around Extremely Compact Sources
• Searching for Chameleon Dark Energy with Mechanical Systems
• Constraining Chameleon screening using galaxy cluster dynamics
• Testing screened modified gravity with SDSS-IV-MaNGA
• Imprints of screened dark energy on nonlocal quantum correlations
• Vainshtein screening for slowly rotating stars
• Chameleon Field in a Spherical Shell System
• Solving nonlinear Klein-Gordon equations on unbounded domains via the Finite Element Method
• Mass Modeling and Kinematics of Galaxy Clusters in Modified Gravity
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse
• Non-linear matter power spectrum without screening dynamics modelling in $f(R)$ gravity
• Chameleon Screening Depends on the Shape and Structure of NFW Halos
• CLASH-VLT: The Fifth Force in Chameleon Gravity from Joint Lensing and Kinematics Cluster Mass Profiles