This article is cited in 4 papers

Bigravity in Hamiltonian formalism: The tetrad approach

V. O. Soloviev

Institute for High Energy Physics, National Research Center "Kurchatov Institute," Protvino, Moscow Oblast, Russia

Abstract: We use the tetrad formalism to calculate a matrix square root occurring in the de Rham–Gabadadze–Tolley potential. In the minimal case, we obtain the constraints and their algebra. We show that the number of gravitational degrees of freedom corresponds to the massless and massive gravity fields. The Boulware–Deser ghost is eliminated because of two second-class constraints.

Keywords: bigravity, bimetric gravity, Hamiltonian formalism, massive gravity, theory gravity.

Received: 01.08.2014

DOI: 10.4213/tmf8775

 English version: Theoretical and Mathematical Physics, 2015, 182:2, 294–307

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