  In this work, we consider F(R) alternative theories of gravity with an eye to
Noether symmetry through the gauge theorem. For non-vacuum models, one finds
{\Lambda} like gravity with energy density of Chaplygin Gas. We also obtain the
effective equation of state parameter for corresponding cosmology and scale
factor behavior with respect to cosmic time which show that the model provides
viable EoS and scale factor with respect to observational data.

General Relativity and Quantum Cosmology