Abstract
We have investigated inflation models that predict a very small value of the tensor-to-scalar ratio, \(r\). The spectral index \(n_{s}\), and the tensor-to-scalar ratio \(r\), are strictly constrained by the Planck data. \(n_{s}\) and \(r\) are sensitive to the shape and magnitude of the inflaton potential, respectively. The constraints by the Planck 2018 data combined with other cosmological observations are compared with the predictions from the inflation models regarding \(n_{s}\) and \(r\). Furthermore, we discuss the comparison of future tensor-to-scalar ratio data with predictions from the inflation models with a focus on part of the quantum fluctuation origin.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data Availability
Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
References
Adams, F.C., Bond, J.R., Freese, K., et al.: Phys. Rev. D 47, 426 (1993)
Ade, P.A.R., et al.: Astron. Astrophys. 571, A22 (2014)
Ade, P.A.R., et al.: Astron. Astrophys. 594, A20 (2016)
Akrami, Y., et al.: Astron. Astrophys. 641, A10 (2020)
Albrecht, A., Steinhardt, P.J.: Phys. Rev. Lett. 48, 1220 (1982)
Baumann, D., Dymarsky, A., Klebanov, I.R., et al.: J. Cosmol. Astropart. Phys. 0801, 024 (2008)
Blanco-Pillado, J.J., et al.: J. High Energy Phys. 0609, 002 (2006)
Conlon, J.P., Quevedo, F.: J. High Energy Phys. 0601, 146 (2006)
Copeland, E.J., Liddle, A.R., Lyth, D.H., et al.: Phys. Rev. D 49, 6410 (1994)
Deffayet, C., Gao, X., Steer, D.A., et al.: Phys. Rev. D 84, 064,039 (2011)
Dvali, G.R., Tye, S.H.H.: Phys. Lett. B 450, 72 (1999)
Finelli, F., et al.: J. Cosmol. Astropart. Phys. 04, 016 (2018)
Freese, K., Frieman, J.A., Olinto, A.V.: Phys. Rev. Lett. 65, 3233 (1990)
Guth, A.H.: Phys. Rev. D 23, 347 (1981)
Hazumi, M.: Prog. Theor. Phys. Suppl. 190, 75 (2011)
Horndeski, G.W.: Int. J. Theor. Phys. 10, 363 (1974)
Kachru, S., et al.: J. Cosmol. Astropart. Phys. 0310, 013 (2003)
Kobayashi, T., Yamaguchi, M., Yokoyama, J.i.: Prog. Theor. Phys. 126, 511 (2011)
Kogut, A., et al.: J. Cosmol. Astropart. Phys. 07, 025 (2011)
Linde, A.D.: Phys. Lett. B 108, 389 (1982)
Linde, A.D.: Phys. Lett. B 129, 177 (1983)
Linde, A.D.: Phys. Rev. D 49, 748 (1994)
Lyth, D.H.: Phys. Rev. Lett. 78, 1861 (1997)
Lyth, D.H.: Lect. Notes Phys. 738, 81 (2008)
Panda, S., Sami, M., Tsujikawa, S.: Phys. Rev. D 76, 103,512 (2007)
Sato, K.: Mon. Not. R. Astron. Soc. 195, 467 (1981a)
Sato, K.: Phys. Lett. B 99, 66 (1981b)
Smoot, G.F., et al.: Astrophys. J. 396, L1 (1992)
Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)
Author information
Authors and Affiliations
Contributions
K.H. wrote the main manuscript text, prepared all figures, and reviewed the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Hirano, K. Inflation with very small tensor-to-scalar ratio. Astrophys Space Sci 368, 37 (2023). https://doi.org/10.1007/s10509-023-04185-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-023-04185-3