  We build a self-consistent relativistic scalar theory of gravitation on a
flat Minkowski spacetime from a general field Lagrangian. It is shown that, for
parameters that satisfy the Equivalence Principle, this theory predicts the
same outcome as general relativity for every classical solar-system test. This
theory also admits gravitational waves that propagate at the speed of light,
and the gravitational radiation energy loss in a binary system is shown to be
very similar to the GR prediction. We then analyze the strong gravity regime of
the theory for a spherically symmetric configuration and find that there is an
effective "singularity" near the Schwarzschild radius. The main goal of this
work is to show that, contrary to what is commonly believed, there are
relativistic scalar theories of gravitation defined on a Minkowski spacetime
that are not ruled out by the classical solar system tests of general
relativity.
