  We investigate the field equations in the Einstein-aether theory for static
spherically symmetric spacetimes and a perfect fluid source and subsequently
with the addition of a scalar field (with an exponential self-interacting
potential). We introduce more appropriate dynamical variables that facilitate
the study of the equilibrium points of the resulting dynamical system and, in
addition, we discuss the dynamics at infinity. We study the qualitative
properties of the models with a particular interest in their asymptotic
behaviour and whether they admit singularities. We also present a number of new
solutions.
