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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,” Phys. Rev. D 80
Original
1967
Earlier work this paper cites.
G. W. Horndeski, Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
R. M. Wald, “General Relativity,” Chicago, Usa: Univ. Pr. (1984) 491p
1984
Earlier work this paper cites.
J. D. Bekenstein, “The Relation between physical and gravitational geometry,” Phys. Rev. D 48
1993
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B 485
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov and P. J. Steinhardt, “A Dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov and P. J. Steinhardt, “Essentials of k essence,” Phys. Rev. D 63
2001
Earlier work this paper cites.
T. Chiba, “1/R gravity and scalar - tensor gravity,” Phys. Lett. B 575
2003
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 0406
2004
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP 0612
2006
Earlier work this paper cites.
R. P. Woodard, “Avoiding dark energy with 1/r modifications of gravity,” Lect. Notes Phys. 720
2007
Earlier work this paper cites.

Similar

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.
C. Deffayet, G. Esposito-Farese and A. Vikman, “Covariant galileon,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
P. Creminelli, G. D’Amico, J. Norena and F. Vernizzi, “The Effective Theory of Quintessence: the w < − 1 w<-1 Side Unveiled,” JCAP 0902
Original
2009
Cited alongside, same era.
C. de Rham and G. Gabadadze, “Generalization of the Fierz-Pauli Action,” Phys. Rev. D 82
Original
2010
Cited alongside, same era.
C. Deffayet, O. Pujolas, I. Sawicki and A. Vikman, “Imperfect Dark Energy from Kinetic Gravity Braiding,” JCAP 1010

Then

G. Gubitosi, F. Piazza and F. Vernizzi, “The Effective Field Theory of Dark Energy,” JCAP 1302
Original
2013
Later among the works it cites.
J. K. Bloomfield, E. Flanagan, M. Park and S. Watson, “Dark energy or modified gravity? An effective field theory approach,” JCAP 1308
Original
2013
Later among the works it cites.
J. Bloomfield, “A Simplified Approach to General Scalar-Tensor Theories,” JCAP 1312
Original
2013
Later among the works it cites.
C. Deffayet and D. A. Steer, “A formal introduction to Horndeski and Galileon theories and their generalizations,” Class. Quant. Grav. 30
Original
2013
Later among the works it cites.
K. Koyama, G. Niz and G. Tasinato, “Effective theory for the Vainshtein mechanism from the Horndeski action,” Phys. Rev. D 88

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2014

Exploring gravitational theories beyond Horndeski

Gleyzes, Jérôme, Langlois, David, Piazza, Federico et al.

Understand

We have recently proposed a new class of gravitational scalar-tensor theories free from Ostrogradski instabilities, in arXiv:1404.6495.

As they generalize Horndeski theories, or "generalized" galileons, we call them G$^3$.
These theories possess a simple formulation when the time hypersurfaces are chosen to coincide with the uniform scalar field hypersurfaces.
We confirm that they contain only three propagating degrees of freedom by presenting the details of the Hamiltonian formulation.

Built on

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,” Phys. Rev. D 80
Original
1967
Earlier work this paper cites.
G. W. Horndeski, Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
R. M. Wald, “General Relativity,” Chicago, Usa: Univ. Pr. (1984) 491p
1984
Earlier work this paper cites.
J. D. Bekenstein, “The Relation between physical and gravitational geometry,” Phys. Rev. D 48
1993
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B 485
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov and P. J. Steinhardt, “A Dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov and P. J. Steinhardt, “Essentials of k essence,” Phys. Rev. D 63
2001
Earlier work this paper cites.
T. Chiba, “1/R gravity and scalar - tensor gravity,” Phys. Lett. B 575
2003
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 0406
2004
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP 0612
2006
Earlier work this paper cites.
R. P. Woodard, “Avoiding dark energy with 1/r modifications of gravity,” Lect. Notes Phys. 720
2007
Earlier work this paper cites.