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2015

Primordial non-Gaussianities of gravitational waves beyond Horndeski

Akita, Yuji, Kobayashi, Tsutomu

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We clarify the features of primordial non-Gaussianities of tensor perturbations in Gao's unifying framework of scalar-tensor theories.

The general Lagrangian is given in terms of the ADM variables so that the framework maintains spatial covariance and includes the Horndeski theory and Gleyzes-Langlois-Piazza-Vernizzi (GLPV) generalization as specific cases.
It is shown that the GLPV generalization does not give rise to any new terms in the cubic action compared to the case of the Horndeski theory, but four new terms appear in more general theories beyond GLPV.
We compute the tensor 3-point correlation functions analytically by treating the modification to the dispersion relation as a perturbation.

Primordial non-Gaussianities of gravitational waves beyond Horndeski · Around

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J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, “Exploring gravitational theories beyond Horndeski,” JCAP 1502
Original
1952
Earlier work this paper cites.
A. Bzowski, P. McFadden and K. Skenderis, “Holographic predictions for cosmological 3-point functions,” JHEP 1203
Original
1967
Earlier work this paper cites.
G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. B 91
1980
Earlier work this paper cites.
A. H. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D 23
1981
Earlier work this paper cites.
K. Sato, “First Order Phase Transition of a Vacuum and Expansion of the Universe,” Mon. Not. Roy. Astron. Soc. 195
1981
Earlier work this paper cites.
R. Kase and S. Tsujikawa, “Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity,” Int. J. Mod. Phys. D 23
Original
1984
Earlier work this paper cites.
J. Martin and R. H. Brandenberger, “The Corley-Jacobson dispersion relation and transPlanckian inflation,” Phys. Rev. D 65
2002
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, “Ghost inflation,” JCAP 0404
2004
Earlier work this paper cites.
X. Chen, M. x. Huang, S. Kachru and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP 0701
2007
Earlier work this paper cites.
K. Jones-Smith, L. M. Krauss and H. Mathur, “A Nearly Scale Invariant Spectrum of Gravitational Radiation from Global Phase Transitions,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
P. Hořva, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.
E. Fenu, D. G. Figueroa, R. Durrer and J. Garcia-Bellido, “Gravitational waves from self-ordering scalar fields,” JCAP 0910
Original
2009
Earlier work this paper cites.
D. Blas, O. Pujolas and S. Sibiryakov, “Consistent Extension of Hořva Gravity,” Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
J. M. Maldacena and G. L. Pimentel, “On graviton non-Gaussianities during inflation,” JHEP 1109
Original
2011
Earlier work this paper cites.
J. Soda, H. Kodama and M. Nozawa, “Parity Violation in Graviton Non-gaussianity,” JHEP 1108
Original
2011
Earlier work this paper cites.
P. McFadden and K. Skenderis, “Cosmological 3-point correlators from holography,” JCAP 1106
Original
2011
Earlier work this paper cites.
X. Gao, T. Kobayashi, M. Yamaguchi and J. Yokoyama, “Primordial non-Gaussianities of gravitational waves in the most general single-field inflation model,” Phys. Rev. Lett. 107
Original
2011
Earlier work this paper cites.

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