  As current and future experiments probe strong gravitational regimes around
neutron stars and black holes, it is desirable to have theoretically sound
alternatives to general relativity against which to test observations. Here we
study the consequences of one such generalization, Einstein-aether theory, for
the properties of non-rotating neutron stars. This theory has a parameter range
that satisfies all current weak-field tests. We find that within this range it
leads to lower maximum neutron star masses, as well as larger surface redshifts
at a particular mass, for a given nuclear equation of state. For non-rotating
black holes and neutron stars, the innermost stable circular orbit is only
slightly modified in this theory.
