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It is known that the construction of a completely stable solution in Horndeski theory is restricted very strongly by the so-called no-go theorem.
T. Kobayashi, Horndeski theory and beyond: a review
1901
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1905
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1906
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S. Mironov, V. Rubakov, and V. Volkova, Subluminal cosmological bounce beyond Horndeski
1910
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G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
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D. B. Fairlie, J. Govaerts, and A. Morozov, Universal field equations with covariant solutions
1992
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A. Ilyas, M. Zhu, Y. Zheng, Y.-F. Cai, and E. N. Saridakis, DHOST Bounce
2002
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2003
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P. Creminelli, M. A. Luty, A. Nicolis, and L. Senatore, Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
2006
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A. Nicolis, R. Rattazzi, and E. Trincherini, The Galileon as a local modification of gravity
2009
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C. Deffayet, G. Esposito-Farese, and A. Vikman, Covariant Galileon
2009
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A. Ilyas, M. Zhu, Y. Zheng, and Y.-F. Cai, Emergent Universe and Genesis from the DHOST Cosmology
2009
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Y. Ageeva, P. Petrov, and V. Rubakov, Horndeski genesis: consistency of classical theory
2009
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T. Kobayashi, M. Yamaguchi, and J. Yokoyama, G-inflation: Inflation driven by the Galileon field
2010
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P. Creminelli, A. Nicolis, and E. Trincherini, Galilean Genesis: An Alternative to inflation
2010
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2011
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D. A. Easson, I. Sawicki, and A. Vikman, G-Bounce
2011
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Y.-F. Cai, D. A. Easson, and R. Brandenberger, Towards a Nonsingular Bouncing Cosmology
2012
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2014
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M. Koehn, J.-L. Lehners, and B. A. Ovrut, Cosmological super-bounce
2014
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D. Pirtskhalava, L. Santoni, E. Trincherini, and P. Uttayarat, Inflation from Minkowski Space
T. Kobayashi, Generic instabilities of nonsingular cosmologies in Horndeski theory: A no-go theorem
2016
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2016
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2017
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2017
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2014
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V. A. Rubakov, The Null Energy Condition and its violation
2014
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J. Gleyzes, D. Langlois, F. Piazza, and F. Vernizzi, Healthy theories beyond Horndeski
2015
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2015
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T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Galilean Creation of the Inflationary Universe
2015
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2015
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2016
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2016
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2017
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Y. Cai and Y.-S. Piao, A covariant Lagrangian for stable nonsingular bounce
2017
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Y. Cai, H.-G. Li, T. Qiu, and Y.-S. Piao, The Effective Field Theory of nonsingular cosmology: II
2017
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2018
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K. Peeters, Cadabra2: computer algebra for field theory revisited
2018
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2019
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S. Mironov, Mathematical Formulation of the No-Go Theorem in Horndeski Theory
2019
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2021
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M. Zhu and Y. Zheng, Improved DHOST Genesis
2021
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2021
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