Abstract
We consider the cosine Natural inflation model that is a good candidate to explain the initial accelerating phase of the universe. By computing the inflationary parameters in Einstein frame, we construct a consistency relation between the scalar spectral index, tensor-to-scalar ratio, as well as the running of the scalar spectral index and compare the results with recently released Planck 2015 observational data. Our results show that a Natural Inflation model in Einstein frame has a good agreement with the observational data.
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References
Accetta, F.S., Zoller, D.J., Turner, M.S.: Phys. Rev. D 31, 3046 (1985)
Adams, F.C., Bond, J.R., Freese, K., Frieman, J.A., Olinto, A.V.: Phys. Rev. D 47, 426 (1993)
Ade, P.A.R., et al.: arXiv:1502.02114 (2015)
Albrecht, A., Steinhard, P.: Phys. Rev. D 48, 1220 (1982)
Bamba, K., Nojiri, S., Odintsov, S.D.: Phys. Lett. B 737, 374 (2014)
Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Spaces. Cambridge Univ. Press, Cambridge (1982)
Fakir, R., Unruh, W.G.: Phys. Rev. D 41, 1783 (1990)
Fakir, R., Habib, S., Unruh, W.G.: Astrophys. J. 394, 396 (1992)
Faraoni, V.: Phys. Rev. D 53, 6813 (1996)
Faraoni, V.: Int. J. Theor. Phys. 38, 217 (1999)
Faraoni, V.: Phys. Rev. D 62, 023504 (2000)
Freese, K., Kinney, W.H.: Phys. Rev. D 70, 083512 (2004)
Freese, K., Kinney, W.H.: arXiv:1403.5277 (2014)
Freese, K., Frieman, J.A., Olinto, A.V.: Phys. Rev. Lett. 65, 3233 (1990)
Futamase, T., Maeda, K.I.: Phys. Rev. D 39, 399 (1989)
Gunzig, E., Saa, A., Brenig, L., Faraoni, V., Rocha Filho, T.M., Figueiredo, A.: Phys. Rev. D 63, 067301 (2001)
Guth, A.: Phys. Rev. D 23, 347 (1981)
Hwang, J., Noh, H.: Phys. Rev. D 60, 123001 (1999)
Kaiser, D.I.: Phys. Rev. D 52, 4295 (1995)
Libanov, M.V., Rubakov, V.A., Tinyakov, P.G.: Phys. Lett. B 442, 63 (1998)
Liddle, A., Lyth, D.: Cosmological Inflation and Large-Scale Structure. Cambridge University Press, Cambridge (2000)
Lidsey, J.E., et al.: Rev. Mod. Phys. 69, 373 (1997)
Linde, A.D.: Phys. Lett. B 108, 389 (1982)
Linde, A.D.: Particle Physics and Inflationary Cosmology. Harwood Academic Publishers, Chur (1990). arXiv:hep-th/0503203
Lyth, D.H., Liddle, A.R.: The Primordial Density Perturbation. Cambridge University Press, Cambridge (2009)
Makino, N., Sasaki, M.: Prog. Theor. Phys. 86, 103 (1991)
Mishra, H., Mohanty, S., Nautiyal, A.: arXiv:1106.3039 (2011)
Nozari, K.: J. Cosmol. Astropart. Phys. 0709, 003 (2007)
Nozari, K., Rashidi, N.: Phys. Rev. D 86, 043505 (2012)
Nozari, K., Rashidi, N.: Phys. Rev. D 88, 023519 (2013)
Nozari, K., Rashidi, N.: Astrophys. Space Sci. 350, 339 (2014a)
Nozari, K., Rashidi, N.: Phys. Rev. D 90, 043522 (2014b)
Nozari, K., Shafizadeh, S.: Phys. Scr. 82, 015901 (2010)
Pallis, C., Toumbas, N.: J. Cosmol. Astropart. Phys. 1102, 019 (2011)
Randjbar-Daemi, S., Salam, A., Strathdee, J.: Phys. Lett. B 135, 388 (1984)
Riotto, A.: arXiv:hep-ph/0210162 (2002)
Salopek, D.S., Bond, J.R., Bardeen, J.M.: Phys. Rev. D 40, 1753 (1989)
Savage, C., Freese, K., Kinney, W.H.: Phys. Rev. D 74, 123511 (2006)
Schimd, C., Uzan, J.P., Riazuelo, A.: Phys. Rev. D 71, 083512 (2005)
Tsujikawa, S.: Phys. Rev. D 62, 043512 (2000)
Tsujikawa, S., Maeda, K., Torii, T.: Phys. Rev. D 60, 123505 (1999)
Visinelli, L.: J. Cosmol. Astropart. Phys. 1109, 013 (2011)
Zee, A.: Phys. Rev. Lett. 42, 417 (1979)
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Nozari, K., Kahvaee, H. & Rashidi, N. Consistency relation for natural inflation with Planck 2015 data. Astrophys Space Sci 359, 63 (2015). https://doi.org/10.1007/s10509-015-2514-1
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DOI: https://doi.org/10.1007/s10509-015-2514-1