  Starting with the MacDowell-Mansouri formulation of gravity with a $SO(4,1)$
gauge group, we introduce new parameters into the action to include the
non-dynamical Holst term, and the topological Nieh-Yan and Pontryagin classes.
Then, we consider the new parameters as fields and analyze the solutions coming
from their equations of motion. The new fields introduce torsional
contributions to the theory that modify Einstein's equations.
