Abstract
We study the power law inflation in the context of non-minimally coupled to the scalar curvature. We analyze the inflationary solutions under an exact analysis and also in the slow roll approximations. In both solutions, we consider the recent data from Planck 2015 data to constraint the parameters in our model. In this framework, we find that in the slow roll approximations the spectral scalar index \(n_{S} > 1\), during the power law inflation.
Similar content being viewed by others
References
Ade, P.A.R., et al. (Planck Collaboration): arXiv:1502.02114 [astro-ph.CO] (2015a)
Ade, P.A.R., et al.: Phys. Rev. Lett. 114, 101301 (2015b)
Amendola, L.: Phys. Rev. D 60, 043501 (1999)
Bardeen, J.: Phys. Rev. D 22, 1882 (1980)
Bardeen, J., Steinhardt, P.J., Turner, M.S.: Phys. Rev. D 28, 679 (1983)
Barrow, J.D.: Phys. Lett. B 235, 40 (1990)
Bennett, C., et al.: Astrophys. J. Suppl. Ser. 192, 17 (2011)
Birrell, N.D., Davies, P.C.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1980)
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Callan, C.G., Coleman, S., Jackiw, R.: Ann. Phys. 59, 42–73 (1970)
Campuzano, C., del Campo, S., Herrera, R.: Phys. Lett. B 633, 149 (2006)
Capozziello, S., De Laurentis, M.: Phys. Rep. 509, 167 (2011)
Chernikov, N.A., Tagirov, E.A.: Ann. Inst. Henri Poincaré, a Phys. Théor. 9, 1091–71411 (1968a)
Chernikov, N.A., Tagirov, E.A.: Ann. Inst. Henri Poincaré, a Phys. Théor. 9, 109 (1968b)
Chiba, T., Kohri, K.: Prog. Theor. Exp. Phys. 2015(2), 023E01 (2015)
Fakir, R., Unruh, W.G.: Phys. Rev. D 41, 1783 (1990)
Fakir, R., Unruh, W.G.: Astrophys. J. 394, 396 (1992)
Faraoni, V.: Phys. Rev. D 53, 6813 (1996)
Faraoni, V.: Phys. Rev. D 62, 023504 (2000)
Faraoni, V., Gunzig, E., Nardone, P.: Fundam. Cosm. Phys. 20, 121 (1999)
Felder, G., Kofman, L., Linde, A.: Phys. Rev. D 60, 103505 (1999)
Feng, B., Li, M.: Phys. Lett. B 564, 16 (2003)
Futamase, T., Maeda, K.: Phys. Rev. D 39, 399 (1989)
Futamase, T., Rothman, T., Matzner, R.: Phys. Rev. D 39, 405 (1989)
Guth, A.: Phys. Rev. D 23, 347 (1982)
Guth, A., Pi, S.-Y.: Phys. Rev. Lett. 49, 1110 (1982)
Hawking, S.W.: Phys. Lett. B 115, 295 (1982)
Hinshaw, G., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 208, 19 (2013)
Hosotani, Y.: Phys. Rev. D 32, 1949 (1985)
Hwang, J.: Phys. Rev. D 53, 762–765 (1996)
Jordan, P.: Z. Phys. 157, 112 (1959)
Kaiser, D.: Phys. Rev. D 52, 4295 (1995)
Kaiser, D.: Phys. Rev. D 81, 084044 (2010)
Kaiser, D., Sfakianakis, E.: Phys. Rev. Lett. 112, 011302 (2014)
Kaiser, D., Todhunter, A.: Phys. Rev. D 81, 124037 (2010)
Kaiser, D., Mazenc, E., Sfakianakis, E.: Phys. Rev. D 87, 064004 (2013)
Komatsu, E., Futamase, T.: Phys. Rev. D 58, 023004 (1998). Erratum: 58, 089902 (1998)
Komatsu, E., Futamase, T.: Phys. Rev. D 59, 064029 (1999)
Larson, D., et al.: Astrophys. J. Suppl. Ser. 192, 16 (2011)
Liddle, A., Urena-Lopez, L.: Phys. Rev. D 68, 043517 (2003)
Linde, A.: Phys. Rev. Lett. 129, 177 (1983)
Lucchin, F., Matarrese, S.: Phys. Rev. D 32, 1316 (1985)
Lyth, D.H., Wands, D.: Phys. Lett. B 524, 5 (2002)
Makino, N., Sasaki, M.: Prog. Theor. Phys. 86, 103 (1991)
Morris, J.R.: Class. Quantum Gravity 18, 2977 (2001)
Mukhanov, V.F., Chibisov, G.V.: JETP Lett. 33, 532 (1981)
Noh, H., Hwang, J.: Phys. Lett. B 515, 231–237 (2001)
Nozari, K., Rashidi, N.: Phys. Rev. D 86, 043505 (2012)
Nozari, K., Sadatian, S.D.: Mod. Phys. Lett. A 23, 2933 (2008)
Schutz, K., Sfakianakis, E., Kaiser, D.: Phys. Rev. D 89, 064044 (2014)
Shi-Wu, C., et al.: Chin. Phys. Lett. 25, 3162 (2008)
Skugoreva, M., Toporensky, A., Vernov, S.: Phys. Rev. D 90, 064044 (2014)
Starobinsky, A.A.: Phys. Lett. B 117, 175 (1982)
Starobinsky, A., Tsujikawa, S., Yokoyama, J.: Nucl. Phys. B 610, 383 (2001)
Torres, D.F.: Phys. Lett. A 225, 13 (1997)
Tsujikawa, S.: Phys. Rev. D 62, 043512 (2000)
Tsujikawa, S., Gumjudpai, B.: Phys. Rev. D 69, 123523 (2004)
Uzan, J.P.: Phys. Rev. D 59, 123510 (1999)
Acknowledgements
CG and RH dedicate this article to the memory of the Dr. Sergio del Campo (R.I.P.). RH was supported by COMISION NACIONAL DE CIENCIAS Y TECNOLOGIA through FONDECYT Grant N0 1130628 and DI-PUCV N0 123.724.
Author information
Authors and Affiliations
Corresponding author
Additional information
S. del Campo is deceased.
Rights and permissions
About this article
Cite this article
del Campo, S., Gonzalez, C. & Herrera, R. Power law inflation with a non-minimally coupled scalar field in light of Planck 2015 data: the exact versus slow roll results. Astrophys Space Sci 358, 31 (2015). https://doi.org/10.1007/s10509-015-2414-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-015-2414-4