Generalized theories of gravity and supergravity in three dimensions

Some generalizations inspired by the high and low energy modifications of general relativity have been studied in three dimensions. In particular modifications of massive gravity models have been considered. These generalizations have been studied using language of exterior algebra on Riemann-Cartan-Weyl space-times. All generalizations are defined in terms of a Lagrangian and variational field equations have been found using a first order variational formalism. Some exact solutions and properties of these models have been discussed.