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2014
Healthy theories beyond Horndeski Gleyzes, Jérôme, Langlois, David, Piazza, Federico et al.
Understand We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models.
Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey well-behaved second-order equations and are thus free from Ostrogradski instabilities, in contrast to the standard lore. Remarkably, the covariant versions of the original galileon Lagrangians-obtained by direct replacement of derivatives with covariant derivatives-belong to this class of theories. These extensions of Horndeski theories exhibit an uncommon, interesting phenomenology: the scalar degree of freedom affects the speed of sound of matter, even when the latter is minimally coupled to gravity. Healthy theories beyond Horndeski · Around
Built on J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, “Exploring gravitational theories beyond Horndeski,” JCAP 1502
Original
1952
Earlier work this paper cites.
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
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1967
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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.
C. Deffayet, X. Gao, D. A. Steer and G. Zahariade, “From k-essence to generalised Galileons,” Phys. Rev. D 84
Original
2011
Cited alongside, same era.
C. de Rham, G. Gabadadze and A. J. Tolley, “Helicity Decomposition of Ghost-free Massive Gravity,” JHEP 1111
Original
2011
Cited alongside, same era.
T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, “Modified Gravity and Cosmology,” Phys. Rept. 513
Then J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, “Essential Building Blocks of Dark Energy,” JCAP 1308
Original
2013
Later among the works it cites.
F. Piazza and F. Vernizzi, “Effective Field Theory of Cosmological Perturbations,” Class. Quant. Grav. 30
Original
2013
Later among the works it cites.
M. Zumalacárregui and J. García-Bellido, “Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian,” Phys. Rev. D 89
Original
2014
Closest in time.
L. Á. Gergely and S. Tsujikawa, “Effective field theory of modified gravity with two scalar fields: dark energy and dark matter,” Phys. Rev. D 89
Original
2014
Closest in time.
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