Constraints of Anisotropy on Warm Power-Law Ination in Light of Planck Results

Document Type : Research Paper

Authors

1 Sanandaj Branch, Islamic Azad, Sanandaj, Iran

2 Department of physics, Sanandaj Branch, Islamic Azad University, Sanandaj , Iran

Abstract

In this article, we examine the effects of anisotropy on a model of canonical warm inflation with the power-law potential. And we have compared the limitations of this model with Planck's results. Using a conventional local scalar field in the Bianchi type I metric, we have estimated the slow-roll conditions and the suitable regions in which the specific free parameters obtained from the theoretical calculations are in good agreement with the Planck results. Here, as is the usual calculation method in warm inflation, we examine the early universe in two different dissipative regimes, including the weak dissipative regime and the strong dissipative regime, and obtain the field equations. Then we calculate the slow-roll parameters and observational indexes in both regimes and finally, we show that this model has been able to make a good agreement by comparing the theoretical results and observational data obtained from cosmic microwave background and Planck satellites 2013 and 2015

Keywords


[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.