  We consider the usual Einstein-Hilbert action in a Metric-Affine setup and in
the presence of a Perfect Hyperfluid. In order to decode the role of shear
hypermomentum, we impose vanishing spin and dilation parts on the sources and
allow only for non-vanishing shear. We then consider an FLRW background and
derive the generalized Friedmann equations in the presence of shear
hypermomentum. By providing one equation of state among the shear variables we
study the cases for which shear has an accelerating/decelerating effect on
Universe's expansion. In particular, we see that shear offers a possibility to
prevent the initial singularity formation. We also provide some exact solutions
in the shear dominated era and discuss the physical significance of the shear
current.
