Hamiltonian Formalism of Particular Bimetric Gravity Model

Abstract

In this short note we perform the Hamiltonian analysis of bimetric gravity with one particular form of potential between two metrics. We find that this theory have eight secondary constraints. We identify four constraints that are the first class constraints on condition when the interaction term obeys some specific condition. We show that for the form of the potential studied in this paper this condition is obeyed and hence we can interpret these first class constraints as generators of the diagonal diffeomorphism.

11 pages

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Cited by in corpus (8)

• Massive Gravity
• Chiral description of ghost-free massive gravity
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• Bigravity in Kuchar's Hamiltonian formalism. 2. The special case
• Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
• Is Bimetric Gravity Really Ghost Free?
• Hamiltonian Formalism of General Bimetric Gravity
• Hamiltonian structure of bi-gravity, problem of ghost and bifurcation