Canonical analysis of linearized $\hat{I}»R$ gravity plus a Chern-Simons term

Abstract

The Hamiltonian analysis for the linearized $\hat{I}»R$ gravity plus a Chern-Simons term is performed. The first-class and second-class constraints for arbitrary values of $\hat{I}»$ are presented, and one physical degree of freedom is reported. The second-class constraints are removed, and the corresponding generalized Dirac brackets are constructed; then, the difference between theories with different values of $\hat{I}»$ is remarked.