Hamiltonian analysis for perturbative λ R gravity
Abstract
The Hamiltonian analysis for the linearized λ R gravity around the Minkowski background is performed. The first-class and second-class constraints for arbitrary values of λ are presented, and two physical degrees of freedom are reported. In addition, we remove the second-class constraints, and the generalized Dirac brackets are constructed; then, the equivalence between General Relativity and the λ R theory is shown.
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