Future constraints on the gravitational slip with the mass profiles of
  galaxy clusters
  The gravitational slip parameter is an important discriminator between large
classes of gravity theories at cosmological and astrophysical scales. In this
work we use a combination of simulated information of galaxy cluster mass
profiles, inferred by Strong+Weak lensing analyses and by the study of the
dynamics of the cluster member galaxies, to reconstruct the gravitational slip
parameter $\eta$ and predict the accuracy with which it can be constrained with
current and future galaxy cluster surveys. Performing a full-likelihood
statistical analysis, we show that galaxy cluster observations can constrain
$\eta$ down to the percent level already with a few tens of clusters. We
discuss the significance of possible systematics, and show that the cluster
masses and numbers of galaxy members used to reconstruct the dynamics mass
profile have a mild effect on the predicted constraints.
