[1] Starobinsky, A. A. 1980, Phys. Lett. B, 91, 99.
                                                                                                                [2] Guth, A. H. 1981, Phys. Rev. D, 23, 347.
                                                                                                                [3] Linde, A. D. 1982, Phys. Lett. B, 108, 389.
                                                                                                                [4] Linde, A. D. 1983, Phys. Lett. B, 129, 177.
                                                                                                                [5] Linde, A. D. 1986, Phys. Lett. B, 175, 395.
                                                                                                                [6] Linde, A. D. 1986, Mod. Phys. Lett. A, 1, 81.
                                                                                                                [7] Albrecht, A., & Steinhardt, P. J. 1982, Phys. Rev. Lett., 48, 1220.
                                                                                                                [8] Liddle, A. R. & lyth, D. H. 2000, Cosmological Inflation and Large-Scale Structure, Cambridge university press.
                                                                                                                [9] Brandenberger, A. H. arXive: hep-ph/9910410.
                                                                                                                [10] De Oliveira, H. P. 2002, Phys. Lett. B, 526, 1.
                                                                                                                [11] Cid, A. M., del Campo, S., & Herrera, R. 2007, J. Cosmol. Astropart. Phys., 2007, 005.
                                                                                                                [12] Berera, A. 1995, Phy. Rev. Lett., 75, 3218.
                                                                                                                [13] Berera, A. 1996, Phy. Rev. D, 54, 2519.
                                                                                                                [14] Berera, A. 1997, Phy. Rev. D, 55, 3346.
                                                                                                                [15] Berera, A. 2000, Nucl. Phys., 585, 666.
                                                                                                                [16] Berera, A., Gleiser, M., & Ramos, R. O. 1998, Phys. Rev. D, 58, 123508.
                                                                                                                [17] Rasouli, S., Rezazadeh, K., Abdolmaleki, A., & Karami, K. 2019, Eur. Phys. J. C, 79, 79.
                                                                                                                [18] Akhtari, L., Mohammadi, A., Sayar, K., & Saaidi, Kh. 2017, Astropart. Phys., 90, 28.
                                                                                                                [19] Guth, A. H.2000, Phys. Rep., 333, 555.
                                                                                                                [20] Bhattacharya, K., Mohanty, S., & Nautiyal, A. 2006. Phys. Lett., 97, 251301.
                                                                                                                [21] Mohanty, S., & Nautiyal, A. 2008, Phys. Rev. D, 78, 123515.
                                                                                                                [22] Herrera, R., Videla, N., & Olivares, M. 2015, Eur. Phys. J. C, 75, 205.
                                                                                                                [23] Herrera, R., Olivares, M., & Videla, N. 2014, Phys. Rev. D, 90, 1033502.
                                                                                                                [24] Herrera, R., Olivares, M., & Videla, N. 2014, Int. J. Mod. Phys. D, 23, 1450080.
                                                                                                                [25] Cid, M. A., Campo, S., & Herrera, R. 2007, JCTA, 10, 005.
                                                                                                                [26] Bastero-Gil, M., Berera, A., Romos, RO., & Rosa, JG. 2012, Phys. Lett. B, 712, 425.
                                                                                                                [27] Berera, A., Mossm, I. G., & Ramos, R. O. 2009, Rep. Prog. Phys., 72, 026901.
                                                                                                                [28] Lyth, D. H. 1997, Phys. Rev. Lett., 78, 1861.
                                                                                                                [29] Ghadiri, Z., Aghamohammadi, A., & et al. 2020, Mod. Phys. Lett. A, 35, 11.
                                                                                                                [30] Kumar, K. S., & et al. 2016, J. Cosmol. Astropart. Phys. 02, 063.
                                                                                                                [31] Bartolo, N., & et al. 2004, Phys. Rep., 402, 103.
                                                                                                                [32] Gangui, A. 1994, Phys. Rev. D, 50, 3684.
                                                                                                                [33] de Oliveria-Costa, A., Tegmark, M., Zaldarriaga, M., & Hamilton, A. 2004, phys. Rev. D, 69, 0635016.
                                                                                                                [34] Copi, C., Huterer, D., Schwars, D., & Starkman, G. 2007, Phys. Rev., 75, 023507.
                                                                                                                [35] Land, K., & Magueijo, J. 2005, Phys. Rev. Lett., 95, 071301
                                                                                                                [36] Jaffe, T. R., Banday, A. J., Eriksen, H. K., Gorski, K. M., & Hansen, F. K. 2005, Astrophys. J., 629, L1.
                                                                                                                [37] Groeneboom, N. E., & Ericsen, H. K. 2009, Astrophys. J., 690, 1807.
                                                                                                                [38] Hanson, D., Lewis, A., & Challinor, A. 2010, Phys. Rev. D, 81, 103003.
                                                                                                                [39] Jain, R. K., & Sloth, M. S. 2014, JCAP, 1404, 027.
                                                                                                                [40] Naderi, M., Aghamohammadi A., Refaei, A., & Sheikhahmadi, H. 2019, Mod. Phys. Lett. A.
                                                                                                                [41] Tirandari, M., & Saaidi, Kh. 2017, Nuclear Physics B, 925, 403.
                                                                                                                [42] Fayaz, V., Hossienkhani, H., Amirabadi, M., & Azimi, N. 2014, Astrophys. Space Sci., 353, 301.
                                                                                                                [43] Hossienkhani, H., & Pasqua, A. 2014, Ap&SS, 349, 39.
                                                                                                                [44] Unnikrishnan, S., & Sshni, V. 2013, J. Cosmol. Astropart. Phys., 2013, 063.
                                                                                                                [45] Planck Collab, (P. A. R. Ade et al.), 2014, A&A, 571, A1.
                                                                                                                [46] Planck Collab, (P. A. R. Ade et al.), 2014, A&A, 571, A22.
                                                                                                                [47] Planck Collab, (P. A. R. Ade et al.), 2014, A&A, 571, A24.
                                                                                                                [48] Planck Collab, (P. A. R. Ade et al.), 2016, A&A, 594, A20.
                                                                                                                [49] Planck Collab, (Y. Akrami et al.), arXive:1807.06211 [astro-ph.CO].
                                                                                                                [50] Gong, J.-O., Noumi, T., Shiu, G., Soda, J., Takahashi K., & Yamaguchi, M. 2020, arxiv.org/abs/1910.11533.
                                                                                                                [51] Talebian, A., Nassiri-Rad A., & Firouzjahi, H. 2019, arxiv.org/abs/1909.12773.
                                                                                                                [52] Tirandari M., & Saaidi, Kh. 2017, arxiv.org/abs/1701.06890.
                                                                                                                [53] Naderi, M., Aghamohammadi, A., Refaei, A., & Sheikhahmadi, H. 2019, https://arxiv.org/abs/1809.02348.