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2014

Hamiltonian structure of scalar-tensor theories beyond Horndeski

Lin, Chunshan, Mukohyama, Shinji, Namba, Ryo et al.

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We study the nature of constraints and the Hamiltonian structure in a scalar-tensor theory of gravity recently proposed by Gleyzes, Langlois, Piazza and Vernizzi (GLPV).

For the simple case with A_5 = 0, namely when the canonical momenta conjugate to the spatial metric are linear in the extrinsic curvature, we prove that the number of physical degrees of freedom is three at fully nonlinear level, as claimed by GLPV.
Therefore, while this theory extends Horndeski's scalar-tensor gravity theory, it is protected against additional degrees of freedom.

Hamiltonian structure of scalar-tensor theories beyond Horndeski · Around

Built on

P. A. Dirac, Can. J. Math. 2
Original
1964
Earlier work this paper cites.
D. Lovelock, J. Math. Phys. 12
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D. Lovelock, J. Math. Phys. 13
1972
Earlier work this paper cites.

Similar

G. W. Horndeski, Int. J. Theor. Phys. 10
1974
Cited alongside, same era.
A. Nicolis, R. Rattazzi and E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, arXiv:1404.6495 [hep-th]
Original
Cited in the paper.
X. Gao, arXiv:1406.0822 [gr-qc]
Original
Cited in the paper.

Then

C. Deffayet, G. Esposito-Farese and A. Vikman, Phys. Rev. D 79
Original
2009
Later among the works it cites.
C. Deffayet, X. Gao, D. A. Steer and G. Zahariade, Phys. Rev. D 84
Original
2011
Later among the works it cites.

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