Abstract
Recent observational constraints from the Planck and Wilkinson Microwave Anisotropy Probe (WMAP) indicate tiny temperature anisotropies and some large angle anomalies in the Cosmic Microwave Background (CMB). These anisotropies may originated from an anisotropic geometric background, the matter distribution or both. In this paper we assume a homogeneous and anisotropic Bianchi type-I universe subject to variation of the fine structure constant, α, in the Bekenstein-Sandvik-Barrow-Magueijo (BSBM) theory (Sandvik et al. in Phys. Rev. Lett. 88:031302, 2002). By performing stability analysis, the anisotropic cosmic attractors are studied. The outcome confirms small anisotropies in an accelerating cosmic expansion. The result also predicts a larger variation of fine structure constant in an decelerating universe in future.
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References
Ade, P., et al. (Planck Collaboration): (2013). arXiv:1303.5076
Amirhashchi, H., Pradhan, A.: Astrophys. Space Sci. 351(1), 59–65 (2014). arXiv:1401.5768
Antoniou, I., Perivolaropoulos, L.: J. Cosmol. Astropart. Phys. 1012, 012 (2010)
Barrow, J.D., Graham, A.A.H.: Phys. Rev. D 88, 103513 (2013)
Barrow, J.D., Li, B.: Phys. Rev. D 78, 083536 (2008)
Barrow, J.D., Sloan, D.: Phys. Rev. D 88, 023518 (2013)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 97 (2003)
Bronnikov, K.A., et al.: Class. Quantum Gravity 21, 3389–3403 (2004)
Cai, R.G., Tuo, Z.L.: J. Cosmol. Astropart. Phys. 1202, 004 (2012)
Chand, H., et al.: Astron. Astrophys. 417, 853 (2004)
Clocchiatti, A., et al. (High Z SN Search Collaboration): Astrophys. J. 642, 1 (2006)
Collins, C.B., et al.: Gen. Relativ. Gravit. 12, 805 (1980)
Corichi, A., Montoya, E.: Phys. Rev. D 85, 104052 (2012)
Emami, R., Firouzjahi, H.: J. Cosmol. Astropart. Phys. 1310 (2013). arXiv:1301.1219v3
Farajollahi, H., et al.: J. Cosmol. Astropart. Phys. 05, 017 (2011a)
Farajollahi, H., et al.: J. Cosmol. Astropart. Phys. 11, 018 (2011b)
Farajollahi, H., et al.: Astrophys. Space Sci. 341, 663–667 (2012a)
Farajollahi, H., et al.: Astrophys. Space Sci. 339(1), 79–85 (2012b)
Huts, E.D.: Astron. Astrophys. 332, 410 (1998)
Jain, P., Ralston, J.P.: Mod. Phys. Lett. A 14, 417 (1999)
Jain, P., et al.: Mon. Not. R. Astron. Soc. 347, 394 (2004)
Kim, E.J., Kawai, S.: Phys. Rev. D 87, 083517 (2013)
Kucukakca, Y., et al.: (2012). arXiv:1204.6410v1
Mak, M.K., Harko, T.: Phys. Rev. D 71, 104022 (2005)
Mishra, et al.: Int. J. Theor. Phys. 52(8), 2546–2559 (2013)
Murphy, M., et al.: Mon. Not. R. Astron. Soc. 327, 1208 (2001)
Murphy, M.T., et al.: Mon. Not. R. Astron. Soc. 345, 609 (2003)
Murphy, M.T., et al.: Lect. Notes Phys. 648, 131 (2004)
Perlmutter, S., et al. (Supernova Cosmology Project): Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133
Petzold, D.L.: Astrophys. Space Sci. 155, 335 (1989)
Pradhan, A.: Res. Astron. Astrophys. 13(2), 139–158 (2013)
Pradhan, A., et al.: Astrophys. Space Sci. 298, 419 (2005)
Pradhan, A., et al.: Indian J. Phys. (2014). arXiv:1308.4842 [physics.gen-ph]. doi:10.1007/s12648-014-0612-5
Ralston, J.P., Jain, P.: Int. J. Mod. Phys. D 13, 1857 (2004)
Riess, A.G., et al. (Supernova Search Team): Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201
Russell, E., et al.: (2013). arXiv:1312.3502v1
Saha, B.: Mod. Phys. Lett. A 20, 2127 (2005)
Sandvik, J.H.B., et al.: Phys. Rev. Lett. 88, 031302 (2002)
Sepehri, et al.: IJTP (2014). doi:10.1007/s10773-014-014-2354-8
Singh, P., Ewing, E.W.: Class. Quantum Gravity 31, 035010 (2014)
Srianand, R., et al.: Phys. Rev. Lett. 92, 121302 (2004)
Watanabe, M.A., et al.: Phys. Rev. Lett. 102, 191302 (2009)
Webb, J.K., et al.: Phys. Rev. Lett. 82, 884 (1999)
Webb, J.K., et al.: Phys. Rev. Lett. 87, 091301 (2001)
Webb, J.K., et al.: Astrophys. Space Sci. 283, 565 (2003)
Yadav, A.K., Saha, B.: Astrophys. Space Sci. 337, 759–765 (2012)
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One of the authors, Hossein Farajollahi, would like to acknowledge the hospitality of the School of Physics, UNSW, and support of Gordon Godfrey prize.
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Farajollahi, H., Tayebi, F. Cosmic acceleration and varying alpha in anisotropic universe. Astrophys Space Sci 357, 151 (2015). https://doi.org/10.1007/s10509-015-2283-x
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DOI: https://doi.org/10.1007/s10509-015-2283-x