Generalized G-Inflation —Inflation with the Most General Second-Order Field Equations—

By Tsutomu Kobayashi, Masahide Yamaguchi, J. Yokoyama. 2011

1,048 citations recorded by the source corpus.

We study generalized Galileons as a framework to develop the most general single-field inflation models ever, Generalized G-inflation, containing yet further generalization of Ginf lation, as well as previous examples such as k-inflation, extended inflation, and new Higgs inflation as special cases. We investigate the background and perturbation evolution in this model, calculating the most general quadratic actions for tensor and scalar cosmological perturbations to give the stability criteria and the power spectra of primordial fluctuations. It is pointed out in the Appendix that the Horndeski theory and the generalized Galileons are equivalent. In particular, even the non-minimal coupling to the Gauss-Bonnet term is included in the generalized Galileons in a non-trivial manner. Subject Index: 440, 442, 453

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0cd7ced41f3b591d9933849d46e01f43c0a03b8f

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Citations in the corpus

G-bounce (2011, result): “The equivalence of these results was shown in [62].”
Inflation, Cosmic Perturbations and Non-Gaussianities (2013, background): “The linear perturbations are considered in [137] and the non-Gaussianities are calculated in [105, 138, 139].”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “The Horndeski action encompasses all local, 4D Lorentz invariant actions whose metric and field variation leads to second order equations of motion (Horndeski, 1974) (Horndeski’s theory is also known in the literature as Generalized Galileons Deffayet et al., 2011; Kobayashi et al., 2011).”
Violent preheating in inflation with nonminimal coupling (2016, neutral): “J C A P 0 2 ( 2 0 1 7 ) 0 4 5 and taking the unitary gauge φJ(t, ~x) = φ̄J(t), we have [50]”
Effective scalar-tensor description of regularized Lovelock gravity in four dimensions (2020, background): “Note also that the nonminimal coupling to the Gauss-Bonnet term can be reproduced from the Horndeski functions including the lnX terms [30].”
Effective field theory approach to quasi-single field inflation and effects of heavy fields (2012, methodology): “Recently, the most general single field inflation model with the second order equations of motion [4] has been invented in the context of Horndeski [5, 6] and Galileon theories [7–9].”
Effective field theory of dark energy: A review (2019, methodology): “In this description, instead of choosing the functional form of the Gi or Fi functions respectively in the Horndeski Lagrangians [205] and GLPV ones [34], one can fix the form of each EFT function and describe the linear part of the theory.”