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This article reviews scalar-tensor theories characterized by a Lagrangian that, despite the presence of second order derivatives, contain a single scalar degree of freedom.
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G. Gubitosi, F. Piazza, and F. Vernizzi, “The Effective Field Theory of Dark Energy,” JCAP
2013
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J. Gleyzes, D. Langlois, F. Piazza, and F. Vernizzi, “Essential Building Blocks of Dark Energy,” JCAP
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2013
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2013
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2014
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2014
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2014
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X. Gao, “Hamiltonian analysis of spatially covariant gravity,” Phys. Rev
2014
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J. Gleyzes, D. Langlois, and F. Vernizzi, “A unifying description of dark energy,” Int.J.Mod.Phys
2014
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E. Bellini and I. Sawicki, “Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity,” JCAP
2014
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2014
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R. P. Woodard, “Ostrogradsky’s theorem on Hamiltonian instability,” Scholarpedia
2015
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G. Domènech, S. Mukohyama, R. Namba, A. Naruko, R. Saitou, and Y. Watanabe, “Derivative-dependent metric transformation and physical degrees of freedom,” Phys. Rev
2015
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J. Gleyzes, D. Langlois, F. Piazza, and F. Vernizzi, “Healthy theories beyond Horndeski,” Phys. Rev. Lett
2015
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C. Deffayet, G. Esposito-Farese, and D. A. Steer, “Counting the degrees of freedom of generalized Galileons,” Phys. Rev
2015
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E. Bellini, R. Jimenez, and L. Verde, “Signatures of Horndeski gravity on the Dark Matter Bispectrum,” JCAP
2015
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L. Perenon, F. Piazza, C. Marinoni, and L. Hui, “Phenomenology of dark energy: general features of large-scale perturbations,” JCAP
2015
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J. Gleyzes, D. Langlois, M. Mancarella, and F. Vernizzi, “Effective Theory of Interacting Dark Energy,” JCAP
2015
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A. De Felice, K. Koyama, and S. Tsujikawa, “Observational signatures of the theories beyond Horndeski,” JCAP
2015
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T. Kobayashi, Y. Watanabe, and D. Yamauchi, “Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski,” Phys. Rev
2015
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K. Koyama and J. Sakstein, “Astrophysical Probes of the Vainshtein Mechanism: Stars and Galaxies,” Phys. Rev
2015
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R. Saito, D. Yamauchi, S. Mizuno, J. Gleyzes, and D. Langlois, “Modified gravity inside astrophysical bodies,” JCAP
2015
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J. Sakstein, “Hydrogen Burning in Low Mass Stars Constrains Scalar-Tensor Theories of Gravity,” Phys. Rev. Lett
2015
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J. Sakstein, “Testing Gravity Using Dwarf Stars,” Phys. Rev
2015
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A. Maselli, H. O. Silva, M. Minamitsuji, and E. Berti, “Slowly rotating black hole solutions in Horndeski gravity,” Phys. Rev
2015
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D. Pirtskhalava, L. Santoni, E. Trincherini, and F. Vernizzi, “Weakly Broken Galileon Symmetry,” JCAP
2015
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D. Langlois and K. Noui, “Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability,” JCAP
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2017
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J. Sakstein, E. Babichev, K. Koyama, D. Langlois, and R. Saito, “Towards Strong Field Tests of Beyond Horndeski Gravity Theories,” Phys. Rev
2017
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E. Babichev and G. Esposito-Farese, “Cosmological self-tuning and local solutions in generalized Horndeski theories,” Phys. Rev
2017
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E. Babichev, C. Charmousis, and A. Lehébel, “Asymptotically flat black holes in Horndeski theory and beyond,” JCAP
2017
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Virgo, LIGO Scientific
2017
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Virgo, Fermi-GBM, INTEGRAL, LIGO Scientific
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2016
Cited alongside, same era.
M. Crisostomi, M. Hull, K. Koyama, and G. Tasinato, “Horndeski: beyond, or not beyond?,” JCAP
2016
Cited alongside, same era.
J. Ben Achour, M. Crisostomi, K. Koyama, D. Langlois, K. Noui, and G. Tasinato, “Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order,” JHEP
2016
Cited alongside, same era.
J. Ben Achour, D. Langlois, and K. Noui, “Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations,” Phys. Rev
2016
Cited alongside, same era.
M. Crisostomi, K. Koyama, and G. Tasinato, “Extended Scalar-Tensor Theories of Gravity,” JCAP
2016
Cited alongside, same era.
C. de Rham and A. Matas, “Ostrogradsky in Theories with Multiple Fields,” JCAP
2016
Cited alongside, same era.
H. Motohashi, K. Noui, T. Suyama, M. Yamaguchi, and D. Langlois, “Healthy degenerate theories with higher derivatives,” JCAP
2016
Cited alongside, same era.
2017
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P. Creminelli and F. Vernizzi, “Dark Energy after GW170817 and GRB170817A,” Phys. Rev. Lett
2017
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J. M. Ezquiaga and M. Zumalacárregui, “Dark Energy After GW170817: Dead Ends and the Road Ahead,” Phys. Rev. Lett
2017
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T. Baker, E. Bellini, P. G. Ferreira, M. Lagos, J. Noller, and I. Sawicki, “Strong constraints on cosmological gravity from GW170817 and GRB 170817A,” Phys. Rev. Lett
2017
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R. Kimura, A. Naruko, and D. Yoshida, “Extended vector-tensor theories,” JCAP
2017
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R. Kolevatov, S. Mironov, N. Sukhov, and V. Volkova, “Cosmological bounce and Genesis beyond Horndeski,” JCAP
2017
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G. Papallo and H. S. Reall, “On the local well-posedness of Lovelock and Horndeski theories,” Phys. Rev
2017
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G. Papallo, “On the hyperbolicity of the most general Horndeski theory,” Phys. Rev
2017
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H. Motohashi, T. Suyama, and M. Yamaguchi, “Ghost-free theory with third-order time derivatives,” J. Phys. Soc. Jap
2018
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H. Motohashi, T. Suyama, and M. Yamaguchi, “Ghost-free theories with arbitrary higher-order time derivatives,” JHEP
2018
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A. De Felice, D. Langlois, S. Mukohyama, K. Noui, and A. Wang, “Generalized instantaneous modes in higher-order scalar-tensor theories,” Phys. Rev
2018
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D. Langlois, R. Saito, D. Yamauchi, and K. Noui, “Scalar-tensor theories and modified gravity in the wake of GW170817,” Phys. Rev
2018
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S. Peirone, K. Koyama, L. Pogosian, M. Raveri, and A. Silvestri, “Large-scale structure phenomenology of viable Horndeski theories,” Phys. Rev
2018
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E. V. Linder, “No Slip Gravity,” JCAP
2018
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J. Kennedy, L. Lombriser, and A. Taylor, “Reconstructing Horndeski theories from phenomenological modified gravity and dark energy models on cosmological scales,” Phys. Rev
2018
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S. Arai and A. Nishizawa, “Generalized framework for testing gravity with gravitational-wave propagation. II. Constraints on Horndeski theory,” Phys. Rev
2018
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L. Amendola, D. Bettoni, G. Domènech, and A. R. Gomes, “Doppelgänger dark energy: modified gravity with non-universal couplings after GW170817,” JCAP
2018
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R. Kase and S. Tsujikawa, “Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity,” Phys. Rev
2018
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M. Crisostomi and K. Koyama, “Self-accelerating universe in scalar-tensor theories after GW170817,” Phys. Rev
2018
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G. Cusin, M. Lewandowski, and F. Vernizzi, “Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure,” JCAP
2018
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S. Hirano, T. Kobayashi, H. Tashiro, and S. Yokoyama, “Matter bispectrum beyond Horndeski theories,” Phys. Rev
2018
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M. Crisostomi and K. Koyama, “Vainshtein mechanism after GW170817,” Phys. Rev
2018
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A. Dima and F. Vernizzi, “Vainshtein Screening in Scalar-Tensor Theories before and after GW170817: Constraints on Theories beyond Horndeski,” Phys. Rev
2018
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N. Bartolo, P. Karmakar, S. Matarrese, and M. Scomparin, “Cosmic structures and gravitational waves in ghost-free scalar-tensor theories of gravity,” JCAP
2018
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I. D. Saltas, I. Sawicki, and I. Lopes, “White dwarfs and revelations,” JCAP
2018
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J. Chagoya and G. Tasinato, “Compact objects in scalar-tensor theories after GW170817,” JCAP
2018
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T. Kobayashi and T. Hiramatsu, “Relativistic stars in degenerate higher-order scalar-tensor theories after GW170817,” Phys. Rev
2018
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E. Babichev, C. Charmousis, G. Esposito-Farèse, and A. Lehébel, “Stability of Black Holes and the Speed of Gravitational Waves within Self-Tuning Cosmological Models,” Phys. Rev. Lett
2018
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M. Crisostomi, K. Noui, C. Charmousis, and D. Langlois, “Beyond Lovelock gravity: Higher derivative metric theories,” Phys. Rev
2018
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A. Ijjas, “Space-time slicing in Horndeski theories and its implications for non-singular bouncing solutions,” JCAP
2018
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L. Santoni, E. Trincherini, and L. G. Trombetta, “Behind Horndeski: structurally robust higher derivative EFTs,” JHEP
2018
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