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Bigravity in tetrad Hamiltonian formalism and matter couplings · Around

2014

Bigravity in tetrad Hamiltonian formalism and matter couplings

Soloviev, Vladimir O.

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The tetrad approach is used to resolve the matrix square root appearing in the dRGT potential.

Constraints and their algebra are derived for the minimal case.
It is shown that the number of gravitational degrees of freedom corresponds to one massless and one massive gravitational fields when two sorts of matter separately interact with two metric tensors.
The Boulware-Deser ghost is then excluded by two second class constraints.

Built on

R. Arnowitt, S. Deser and Ch.W. Misner, in Gravitation, an Introduction to Current Research, ed. L. Witten, Wiley, New York (1963); arXiv:gr-qc/0405109
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B. Zumino, “Effective Lagrangians and broken symmetries,” in Brandeis Univ. Lectures on Elementary Particles and Quantum Field Theory (MIT Press Cambridge, Mass.), Vol. 2, 1970, 437
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C. J. Isham, A. Salam and J. Strathdee, Phys. Lett. B
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D.G. Boulware and S. Deser, Phys.Rev
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J. Kluson. Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation; arXiv:1307.1974
Original
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Then

K. Hinterbichler, R.A. Rosen, JHEP
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2012
Later among the works it cites.
V.O. Soloviev and M.V. Chichikina, Teoret. Mat. Fiz
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D. Comelli, M. Crisostomi, F. Nesti and L. Pilo. Phys. Rev. D
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S. F. Hassan, R.A. Rosen, JHEP
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2070
Closest in time.

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S. Alexandrov. Canonical structure of Tetrad Bimetric Gravity; arXiv:1308.6586

Cited in the paper.

C. de Rham, L. Heisenberg and R.H. Ribeiro. On coupling to matter in massive (bi-)gravity; arXiv:1408.1678

Cited in the paper.

S.F. Hassan, Mikica Kocic, Angnis Schmidt-May. Absence of ghost in a new bimetric-matter coupling; arXiv:1409.1909v1

Cited in the paper.

C. de Rham, L. Heisenberg and R.H. Ribeiro. Ghosts & Matter Couplings in Massive (bi-& multi-)Gravity; arXiv:1409.3834

Cited in the paper.