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arXiv · 1802.07267

Analysis of constraints and their algebra in bimetric theory

S. F. Hassan·Anders Lundkvist
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Abstract

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. However, in bimetric theory, this metric is not unique but depends on how the first class constraints are identified.

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S. F. Hassan, Anders Lundkvist. 2018-02-20. Analysis of constraints and their algebra in bimetric theory. https://doi.org/10.1007/jhep08(2018)182

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