Covariant constraints in ghost free massive gravity

We show that the reformulation of the de Rham-Gabadadze-Tolley massive gravity theory using vielbeins leads to a very simple and covariant way to count constraints, and hence degrees of freedom. Our method singles out a subset of theories, in the de Rham-Gabadadze- Tolley family, where an extra cons...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2013-01, Vol.2013 (1), p.i-21
Main Authors: Deffayet, C, Mourad, J, Zahariade, G
Format: Article
Language:English
Subjects:
ASTROPHYSICS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COSMOLOGICAL MODELS
COSMOLOGY
Counting
DEGREES OF FREEDOM
General Relativity and Quantum Cosmology
Ghosts
GRAVITATION
GRAVITONS
High Energy Physics - Theory
MASSLESS PARTICLES
Mathematical analysis
Physics
POLARIZATION
Propagation
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Summary:We show that the reformulation of the de Rham-Gabadadze-Tolley massive gravity theory using vielbeins leads to a very simple and covariant way to count constraints, and hence degrees of freedom. Our method singles out a subset of theories, in the de Rham-Gabadadze- Tolley family, where an extra constraint, needed to eliminate the Boulware Deser ghost, is easily seen to appear. As a side result, we also introduce a new method, different from the Stuckelberg trick, to extract kinetic terms for the polarizations propagating in addition to those of the massless graviton.
ISSN:1475-7516
1475-7508
1475-7516
DOI:10.1088/1475-7516/2013/01/032