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C. Deffayet, S. Deser, and G. Esposito-Farese, Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors
Original
1967
Earlier work this paper cites.
D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
Earlier work this paper cites.
C. Deffayet and J.-W. Rombouts, Ghosts, strong coupling and accidental symmetries in massive gravity
2005
Earlier work this paper cites.
P. Creminelli, A. Nicolis, M. Papucci, and E. Trincherini, Ghosts in massive gravity
2005
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, and E. Trincherini, The Galileon as a local modification of gravity
Original
2009
Earlier work this paper cites.
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action
Original
2010
Earlier work this paper cites.
C. de Rham, G. Gabadadze, and A. J. Tolley, Helicity Decomposition of Ghost-free Massive Gravity
Original
2011
Earlier work this paper cites.
A. De Felice and S. Tsujikawa, Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
Original
2011
Earlier work this paper cites.
X. Gao and D. A. Steer, Inflation and primordial non-Gaussianities of ’generalized Galileons’
Original
2011
Earlier work this paper cites.
T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Generalized G-inflation: Inflation with the most general second-order field equations
Original
2011
Earlier work this paper cites.
C. de Rham, G. Gabadadze, and A. J. Tolley, Resummation of Massive Gravity
Original
2011
Earlier work this paper cites.
T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, Modified Gravity and Cosmology
Original
2012
Earlier work this paper cites.
C. de Rham, G. Gabadadze, and A. J. Tolley, Ghost free Massive Gravity in the Stückelberg language
Original
2012
Earlier work this paper cites.

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2016

Ostrogradsky in Theories with Multiple Fields

de Rham, Claudia, Matas, Andrew

Understand

We review how the (absence of) Ostrogradsky instability manifests itself in theories with multiple fields.

It has recently been appreciated that when multiple fields are present, the existence of higher derivatives may not automatically imply the existence of ghosts.
We discuss the connection with gravitational theories like massive gravity and beyond Horndeski which manifest higher derivatives in some formulations and yet are free of Ostrogradsky ghost.
We also examine an interesting new class of Extended Scalar-Tensor Theories of gravity which has been recently proposed.