  In this paper we start from the original formulation of the galileon model
with the original choice for couplings to gravity. Within this framework we
find that there is still a subset of possible Lagrangians that give
selfaccelerating solutions with stable spherically symmetric solutions. This is
a certain constrained subset of the third order galileon which has not been
explored before. We develop and explore the background cosmological evolution
of this model drawing intuition from other even more restricted galileon
models. The numerical results confirm the presence of selfacceleration, but
also reveals a possible instability with respect to galileon perturbations.

Cosmology and Nongalactic Astrophysics;High Energy Physics - Phenomenology;High Energy Physics - Theory