Bigravity in Hamiltonian formalism: The tetrad approach

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...

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Bibliographic Details
Published inTheoretical and mathematical physics Vol. 182; no. 2; pp. 294 - 307
Main Author Soloviev, V. O.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.02.2015
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-015-0263-5