Canonical structure of Tetrad Bimetric Gravity

Sergey Alexandrov (1)

1 L2C - Laboratoire Charles Coulomb

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Relativité Générale et Cosmologie Quantique [gr-qc]

Sergey Alexandrov. Canonical structure of Tetrad Bimetric Gravity. General Relativity and Gravitation, 2014, 46, pp.1639. ⟨10.1007/s10714-013-1639-1⟩. ⟨hal-00862720⟩