  Screening mechanisms are often deployed by dark energy models in order to
conceal the effects of their new degrees of freedom from the scrutiny of
terrestrial and solar system experiments. However, extreme properties of
nuclear matter may lead to a partial failure of screening mechanisms inside the
most massive neutron stars observed in Nature, opening up the possibility of
probing these theories with neutron star observations. In this work we explore
equilibrium and stability properties of neutron stars in two variants of the
symmetron model. We show that around sufficiently compact neutron stars, the
symmetron is amplified with respect to its background, cosmological value by
several orders of magnitude, and that properties of such unscreened stars are
sensitive to corrections to the leading linear coupling between the symmetron
and matter.
