Canonical structure of tetrad bimetric gravity

  • Sergei AlexandrovEmail author
Editor's Choice (Research Article)


We perform the complete canonical analysis of the tetrad formulation of bimetric gravity and confirm that it is ghost-free describing the seven degrees of freedom of a massless and a massive gravitons. In particular, we find explicit expressions for secondary constraints, one of which is responsible for removing the ghost, whereas the other ensures the equivalence with the metric formulation. Both of them have a remarkably simple form and, being combined with conditions on Lagrange multipliers, can be written in a covariant way.


Bimetric gravity Massive gravity Tetrad formalism  Canonical analysis 



The author is grateful to Josef Klusoň for valuable discussions. This work is supported by contract ANR-09-BLAN-0041.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Laboratoire Charles Coulomb, UMR 5221Université Montpellier 2MontpellierFrance

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