Fifth force induced by a chameleon field on nested cylinders

Abstract

This article investigates the properties of a scalar fifth force that arises in a scalar tensor-theory with a chameleon screening mechanism in the context of gravity space missions like the MICROSCOPE experiment. In such an experiment, the propagation of the chameleon field inside the nested cylinders of the experiment causes a fifth force when the cylinders are not perfectly co-axial. We propose a semi-analytic method to compute the field distribution and the induced fifth force and compare it to a full numerical simulation, in settings where the cylindrical symmetry is broken. The scaling of the fifth force with both the parameters of the model and the geometry of the experiment is discussed. We show that the fifth force is repulsive, hence adds a destabilizing stiffness that should be included in the force budget acting on the detector. This opens the way to a new method to constrain a scalar fifth force in screened models.

arXiv commentSubmitted to Phys. Rev. D

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Cited by in corpus (9)

• MICROSCOPE mission: final results of the test of the Equivalence Principle
• Testing Screened Modified Gravity
• SELCIE: A tool for investigating the chameleon field of arbitrary sources
• MICROSCOPE's constraint on a short-range fifth force
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• Fifth-Force Screening around Extremely Compact Sources
• Effects of a scalar fifth force on the dynamics of a charged particle as a new experimental design to test chameleon theories
• Solving nonlinear Klein-Gordon equations on unbounded domains via the Finite Element Method