  In this paper we consider spherically symmetric interior spacetimes filled by
anisotropic fluids in the context of Ho\v{r}ava gravity and Einstein-aether
theory. We assume a specific non-static configuration of the aether vector
field and show that the field equations admit a family of exact analytical
solutions which can be obtained if one of the two metric coefficients is
assigned. We study as an illustrative example the case in which the metric of
the interior spacetime reproduces the Newtonian potential of a fluid sphere
with constant density.
