Hamiltonian structure of bi-gravity, problem of ghost and bifurcation

We analyze the Hamiltonian structure of a general theory of bi-gravity where the interaction term is a scalar function of the form where may be or g−1f . We give necessary conditions for the interaction term of such a theory to be ghost free. We give a precise constraint analysis of the bi-gravity t...

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Bibliographic Details
Published in:Classical and quantum gravity 2019-10, Vol.36 (22), p.225005
Main Authors: Molaee, Zahra, Shirzad, Ahmad
Format: Article
Language:English
Subjects:
bi gravity
ghost problem
Hamiltonian formalism
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Summary:We analyze the Hamiltonian structure of a general theory of bi-gravity where the interaction term is a scalar function of the form where may be or g−1f . We give necessary conditions for the interaction term of such a theory to be ghost free. We give a precise constraint analysis of the bi-gravity theory of Hassan- Rosen and show that the additional constraint which omit the ghost is our choice at the bifurcation point.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab496b