Analysis of constraints and their algebra in bimetric theory

Understand

We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly.

• In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that it has the correct form to eliminate the ghost.
• We also identify a set of four first class constraints that generate the algebra of general covariance.
• The covariance algebra naturally determines a spacetime metric for the theory.