Fifth force induced by a chameleon field on nested cylinders
  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.
