  We present an interesting reformulation of a collection of dilaton gravity
models in two space-time dimensions into a field theory of two decoupled
Liouville fields in flat space, in the presence of a Maxwell gauge field. An
effective action is also obtained, encoding the dynamics of the dilaton field
and the single gravitational degree of freedom in a decoupled regime. This
effective action represents an interesting starting point for future work,
including the canonical quantization of these classes of non trivial models of
gravity coupled matter systems.
