  A possible Yang-Mills like lagrangian formulation for gravity is explored.
The starting point consists on two next assumptions. First, the metric is
assumed as a real map from a given gauge group. Second, a gauge invariant
lagrangian density is considered with the condition that it is related to the
Einstein one up to a bound term. We study a stationary solution of the abelian
case for the spherical symmetry, which is connected to the M\"oller's Maxwell
like formulation for gravity. Finally, it is showed the consistence of this
formulation with the Newtonian limit.
