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Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution.
G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” International Journal of Theoretical Physics , vol. 10, no. 6, pp. 363–384, 1974
1974
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP , vol. 10, p. 014, 2006
2006
Earlier work this paper cites.
S. Dubovsky, T. Gregoire, A. Nicolis, and R. Rattazzi, “Null energy condition and superluminal propagation,” JHEP , vol. 03, p. 025, 2006
2006
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, and E. Trincherini, “Galileon as a local modification of gravity,” Physical Review D , vol. 79, no. 6, p. 064036, 2009
2009
Earlier work this paper cites.
C. Deffayet, X. Gao, D. A. Steer, and G. Zahariade, “From k-essence to generalised Galileons,” Phys. Rev. D , vol. 84, p. 064039, 2011
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,” Prog. Theor. Phys. , vol. 126, pp. 511–529, 2011
2011
Earlier work this paper cites.
J. Evslin and T. Qiu, “Closed Timelike Curves in the Galileon Model,” JHEP , vol. 11, p. 032, 2011
2011
Earlier work this paper cites.
V. A. Rubakov, “More about wormholes in generalized Galileon theories,” Theor. Math. Phys. , vol. 188, no. 2, pp. 1253–1258, 2016
2016
Cited alongside, same era.
M. Libanov, S. Mironov, and V. Rubakov, “Generalized Galileons: instabilities of bouncing and Genesis cosmologies and modified Genesis,” JCAP , vol. 08, p. 037, 2016
2016
Cited alongside, same era.
T. Kobayashi, “Generic instabilities of nonsingular cosmologies in Horndeski theory: A no-go theorem,” Phys. Rev. D , vol. 94, no. 4, p. 043511, 2016
2016
Cited alongside, same era.
R. Kolevatov and S. Mironov, “Cosmological bounces and Lorentzian wormholes in Galileon theories with an extra scalar field,” Phys. Rev. D , vol. 94, no. 12, p. 123516, 2016
2016
Cited alongside, same era.
P. Creminelli, D. Pirtskhalava, L. Santoni, and E. Trincherini, “Stability of Geodesically Complete Cosmologies,” JCAP , vol. 11, p. 047, 2016
S. Mironov, V. Rubakov, and V. Volkova, “Bounce beyond Horndeski with GR asymptotics and γ \gamma -crossing,” JCAP , vol. 10, p. 050, 2018
2018
Later among the works it cites.
S. Mironov, “Mathematical Formulation of the No-Go Theorem in Horndeski Theory,” Universe , vol. 5, no. 2, p. 52, 2019
2019
Later among the works it cites.
Y. Ageeva, P. Petrov, and V. Rubakov, “Nonsingular cosmological models with strong gravity in the past,” Phys. Rev. D , vol. 104, no. 6, p. 063530, 2021
2021
Later among the works it cites.
P. Creminelli, O. Janssen, and L. Senatore, “Positivity bounds on effective field theories with spontaneously broken Lorentz invariance,” JHEP , vol. 09, p. 201, 2022
2022
Later among the works it cites.
S. Mironov and A. Shtennikova, “Stable cosmological solutions in Horndeski theory,” JCAP , vol. 06, p. 037, 2023
2023
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2016
Cited alongside, same era.
S. Akama and T. Kobayashi, “Generalized multi-Galileons, covariantized new terms, and the no-go theorem for nonsingular cosmologies,” Phys. Rev. D , vol. 95, no. 6, p. 064011, 2017
2017
Cited alongside, same era.
Closest in time.
S. Mironov and M. Valencia-Villegas, “Quartic Horndeski-Cartan theories in a FLRW universe,” Phys. Rev. D , vol. 108, no. 2, p. 024057, 2023
2023
Closest in time.