Bianchi I Cosmology and Scalar Vector Tensor Brans Dicke Gravity

Document Type : Research Paper

Authors

1 Faculty of Physics, Semnan Universiy, Semnan, Iran, 35131-19111

2 Semnan university

Abstract

We consider Brans Dicke scalar vector tensor gravity to study an inflationary scenario of the accelerating expansion of the
universe for which the anisotropy property occurs. We study both primordial inflation and late inflationary period of the universe.
To do so we use Bianchi I line element where spatial part has cylindrical symmetry along $x$ direction in the local Cartesian coordinates. To seek stabilization of our obtained metric solution we apply dynamical system approach to obtain critical manifolds in phase space and determine which of them confirms the inflation with stable nature in presence of the anisotropy property of spacetime. We solve dynamical equations for different directions of the timelike dynamical vector field. We obtain several critical manifolds whose nature of stable (sink) or quasi stable (saddle) are dependent to direction of the used vector field. At last we should point that observational constraint on the Brans Dicke parameter ω>40000 which satisfied by the well known Brans Dicke scalar tensor gravity is not valid for our modified scalar vector Brans Dicke gravity because of presence of timelike dynamical vector field.

Keywords

References

[1] Liddle, L., & Lyth, D. 2000, Cosmological inflation and Large-Scale Structure, Cambridge University Press.
[2] Hu, W., & Dodelson, S. 2002, Ann. Rev. Astron. Astrophys., 40, 171.
[3] Dodelson, S. 2003, Modern Cosmology, Academic Press.
[4] Weinberg, S. 2008, Cosmology, Oxford University Press.
[5] Hutsemekers, D. 1998, Astronomy and Astrophysics, 332, 410.
[6] Watkins, R., Feldman, H. A., & Hudson, M. J. 2009, Mon. Not. R. Astron. Soc., 391, 743.
[7] Feldman, H. A., Watkins, R., & Hudson, M. J. 2010, Mon. Not. R. Astron. Soc., 407, 2328.
[8] Macaulay, E., Feldman, H. A., Ferreira, P. G., Hudson, M. J., & Watkins, R. 2011, MNRAS., 416, 621.
[9] Longo, M. J. 2011, Phys. Lett. B, 699, 224.
[10] Longo, M. J., astro-ph/0703325v3.
[11] Longo, M. J., astro-ph/0707.3793.
[12] Antoniou, I., & Perivolaropoulos, L. 2010, JCAP., 12, 012.
[13] Cai, R. G., & Tou, Z. L. 2012, JCAP., 02, 004.
[14] Yang, X., Wang, F. Y., & Chu, Z. 2014, Mon. Not. R. Astron. Soc., 437, 1840.
[15] Chang, Z., & Lin, H. N. 2015, Mon. Not. R. Astron. Soc., 446, 2952.
[16] Bengaly, C. A. P. Jr., Bernui, A. & Alcaniz, J. S. 2015, Astrophys. J., 808, 39.
[17] Javanmard, B., Porciani, C., Kroupa, P., & Altenburg, J. P. 2015, Astrophys. J., 810, 47.
[18] Webb, J. K., King, J. A., Murphy, M. T., Flambaum ,V. V., Carswell, R. F., & Bainbridge, M. B. 2011, Phys. Rev. Lett., 107, 191101.
[19] King, J. A., Webb, J. K., Murphy, M. T., Flambaum, V. V., Carswell, R. F., Bainbridge, M. B., Wilczynska, M. R., & Koch, F. E. 2012, Mon. Not. R. Atron. Soc., 422, 3370.
[20] Mariano, A., & Perivolaropoulos, L. 2012, Phys. Rev. D., 86, 083517.
[21] Land, L., & Magueijo, J. 2007, Mon. Not. R. Astron., Soc., 378, 153.
[22] Gruppuso, A., Finelli, F., Natoli, P., et al, 2011, Mon. Not. R. Astron. Soc., 411, 14445.
[23] Hansen, H., Frejsel, A. M., Kim, J., Naselsky, P., & Nesti, F. 2011, Phys. Rev. D., 83, 103508.
[24] Maris, M., Burigana, C., Gruppuso, A., Finelli, F., & Diego, J. M. 2011, MNRAS., 415, 2546.
[25] Ben-David, A., Kovetz, E. D., & Itzhaki, N. 2012, Astrophys. J., 748, 39.
[26] Zhao, W., & Santos, L. 2015, The Universe, 3, 9.
[27] Komatsu, E., et al, 2011, WMAP collaboration: Astrophys. J. Suppl., 192, 18.
[28] Komatsu, E., et al, 2009, WMAP collaboration: Astrophys. J. Suppl. Ser., 180, 330.
[29] Spergel, D. N., et al, 2007, WMAP collaboration: Astrophys. J. Suppl. Ser., 170, 377.
[30] Peiris, H. V., et al, 2003, WMAP collaboration: Astrophys. J. Suppl. Ser., 184, 213.
[31] Bennett, C. L., et al, 2003, WMAP collaboration: Astrophys. J. Suppl. Ser., 148, 1.
[32] Bennett, C. L., et al, 2011, WMAP collaboration: Astrophys. J. Suppl., 192, 17.
[33] Ade, P. A. R., et al, 2014, Planck Collaboration, Astron and Astrophys, 571, A23.
[34] Ade, P. A. R., et al, 2016, Planck Collaboration, Astron and Astrophys, 594, A16.
[35] Costa, A. O., et al, 2004, Phys. Rev. D., 69, 063516.
[36] Schwarz, D. J., et al, 2004, Phys. Rev. Lett., 93, 221301.
[37] Cruz, M., et al, 2007, Astrophys. J., 655, 11.
[38] Hoftuft, J., et al, 2009, Astrophys. J., 699, 985.
[39] Schwarz, D. J., Copi, C. J., Huterer, D., & Starkman, G. D. 2016, Class. Quantum. Grav., 23, 184001.
[40] Akarus, O., & Kilinic, C. B. 2011, Int. J. Theor. Phys., 50, 1962.
[41] Ellis, G. F. R. 2006, Gen. Relativ. Gravit, 38, 1003.
[42] Golovnev, A., et al, 2008, J. Cosmol. Astropart. Phys., 06, 009.
[43] Koivisto, T., & Mota, D. F. 2008, Astrophys. J., 679, 1.
[44] Rodrigues, D. C. 2008, Phys. Rev. D., 17, 023534.
[45] Koivisto, T., & Mota, D. F. A. 2008, J. Cosmol. Astropart. Phys., 08, 021.
[46] Koivisto, T., & Mota, D. F. 2008, J. Cosmol. Astropart. Phys., 06, 018.
[47] Akarus, O., & Kilinc, C. B. 2010, Gen. Relativ. Gravit., 42, 119.
[48] Akarus, O., & Kilinc, C. B. 2010, Astrophys. Space Sci., 326, 315.
[49] Akarus, O., & Kilinc, C. B. 2010, Gen. Relativ. Gravit., 42, 763.
[50] Sharif, M., & Zubair, M. 2010, Astrophys. Space Sci., 330, 399.
[51] Sharif, M., & Zubair, M. 2010, Int. J. Mod. Phys. D., 19, 1957.
[52] Yadav, A. K., & Yadav, L. 2011, Int. J. Theor. Phys., 50, 218.
[53] Kantowski, R., & Sachs, R. K. 1996, J. Math. Phys., 7, 443.
[54] Brehme, R. W. 1997, Am. J. Phys., 45, 423.
[55] Culetu, H. 2008, hep-th/0711.0062v3.
[56] Campanelli, L., Cea, P., & Tedesco, L. 2006, Phys. Rev. Lett., 97, 131302.
[57] Campanelli, L., Cea, P., & Tedesco, L. 2006, Phys. Rev. Lett, 97, 209903.
[58] Campanelli, L., Cea, P., & Tedesco, L. 2007, Phys. Rev. D., 76, 063007.
[59] Ghaffarnejad, H. 2008, Gen. Relativ. Gravit., 40, 2229.
[60] Ghaffarnejad, H. 2009, Gen. Relativ. Gravit., 41(E), 2941.
[61] Brans, C., & Dicke, R. 1961, Phys. Rev., 124, 925.
[62] Ghaffarnejad, H., & Yaraie, E. 2017, Gen. Relativ. Gravit., 49, 49.
[63] Ghaffarnejad, H. 2010, Class. Quantum. Grav., 27, 015008.
[64] Ghaffarnejad, H. 2015, J. of Phys., Conf. series, 633, 012020.
[65] Ghaffarnejad, H., & Dehghani, R. 2019, Eur. Phys. J. C., 79, 468.
[66] Ghaffarnejad, H. 2019, J. of Phys. Conf. Series, 1391, 012028.
[67] Will, C. M. 1993, Cambridge University press.
[68] Will, C. M. 2006, Living Rev. Rel., 9.
[69] Gaztanaga, E., & Lobo, J. A. 2001, Astrophys. J., 548, 47.
[70] Reasenberg, R. D., et al, 1961, Astrophys. J., 234, 925.
[71] Ade, P. A. R., et all, 2015, Planck Collaboration, Astron. and Astrophys., 594, 1.
[72] Amirhashchi, H., & Yadav, A. K. 2020, Phys. of the Dark Universe, 30, 100711.
[73] Kitajima, N., Tada, Y., & Takahashi, F. 2020, Phys. Lett. B., 800, 135097.
[74] Coles, P., & Lucchin F. 1995, COSMOLOGY, The origin and Evolution of cosmic structure, John Wiley and Sons.
[75] Linde, A., Linde, D., & Mezhlumian, A. 1994, Phys. Rev. D., 49, 1783.
Iranian Journal of Astronomy and Astrophysics
Volume 8, Issue 2
July 2021
Pages 91-121

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