Abstract
This paper deals with the study of dynamical or phase space analysis of Bianchi I universe in Brans-Dicke gravity with chameleon scalar field. For this purpose, the matter contents are taken to be perfect fluid with magnetic field effects described by the non-linear Maxwell Lagrangian density. By taking some ansatz for the field potential and the interaction function in chameleon cosmology, we discuss three cases: Bianchi I universe with perfect fluid, FRW universe with magnetized perfect fluid and Bianchi I universe with magnetized perfect fluid. In all cases, we calculate fixed or critical points and discuss stability of the respective configuration for radiation as well as matter dominated eras. We also evaluate some cosmological parameters in each case for matter dominated era only and investigate their cosmological implications.
Similar content being viewed by others
References
Ashtekar, A., Lowandowski, J.: Class. Quantum Gravity 21, 53 (2004)
Bandyopadhyay, T., Debnath, U.: Phys. Lett. B 704, 95 (2011)
Banerjee, N., Das, S.: Phys. Rev. D 78, 043512 (2008)
Banerjee, N., Sen, S.: Phys. Rev. D 56, 1334 (1997)
Banerjee, N., Das, S., Ganguly, K.: Pramana 74, L481 (2010)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Bertotti, B., Iess, L., Tortora, P.: Nature 425, 374 (2003)
Bhadra, J., Debnath, U.: Eur. Phys. J. Plus 127, 30 (2012)
Bhadra, J., Chakraborty, S., Debnath, U.: (2011). arXiv:1112.5930v1
Billyard, A.P., Coley, A.A., van den Hoogen, R.J.: Phys. Rev. D 58, 123501 (1998)
Bogoyavlensky, O.I.: Qualitative Theory of Dynamical System in Astrophysics and Gas Dynamics. Springer, Berlin (1985)
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Brax, P., et al.: Phys. Rev. D 70, 123518 (2004)
Cai, Y., Saridakis, E.N., Setare, M.R., Xia, J.: Phys. Rep. 493, 1 (2010)
Caldwell, R.R.: Phys. Lett. B 23, 545 (2002)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980)
Eriksen, H.K., Hansen, F.K., Banday, A.J., Gorski, K.M., Lilje, P.B.: Astrophys. J. 605, 14 (2004)
Farajollahi, H., Salehi, A.: J. Cosmol. Astropart. Phys. 11, 006 (2010)
Farajollahi, H., Salehi, A.: J. Cosmol. Astropart. Phys. 07, 036 (2011)
Felice, A.D., Tsujikawa, S.: Phys. Rev. D 80, 063516 (2009)
Felice, A.D., et al.: Phys. Rev. D 74, 103005 (2006)
Feng, B., Wang, X.L., Zhang, X.: Phys. Lett. B 35, 607 (2005)
Ford, L.H.: Phys. Rev. D 35, 2339 (1987)
Garca-Salcedo, R., Breton, N.: Int. J. Mod. Phys. A 15, 4341 (2000)
Harko, T., et al.: Phys. Rev. D 84, 024020 (2011)
Hindmarsh, M., Everett, A.: Phys. Rev. 58, 103505 (1998)
Jaffe, T.R., Banday, A.J., Eriksen, H.K., Gorski, K.M., Hansen, F.K.: Astrophys. J. 629, L1 (2005)
Jamil, M., Hussain, I., Momeni, D.: Eur. Phys. J. Plus 126, 80 (2011)
Khoury, J., Weltman, A.: Phys. Rev. D 69, 044026 (2004a)
Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004b)
Komatsu, E., et al.: Astrophys. J. Suppl. Ser. 180, 330 (2009)
Linder, E.V.: Phys. Rev. D 81, 127301 (2010)
Liu, X., Zhu, J., Xiao, K.: Gen. Relativ. Gravit. 45, 1021 (2013)
Mota, D.F., Barrow, J.D.: Phys. Lett. B 141, 581 (2004)
Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)
Novello, M.: Int. J. Mod. Phys. A 20, 2421 (2005)
Novello, M., Salim, J.M.: Phys. Rev. D 20, 377 (1977)
Novello, M., et al.: Int. J. Mod. Phys. A 1, 641 (1993)
Novello, M., Bergliaffa, S.E.P., Salim, J.: Phys. Rev. D 69, 127301 (2004)
Novello, M., et al.: Class. Quantum Gravity 24, 3021 (2007)
Nozari, K., Kiani, F.: Phys. Lett. B 718, 727 (2013)
Padmanabhan, T.: Gen. Relativ. Gravit. 40, 529 (2008)
Paul, B.C., Paul, D.: Pramana J. Phys. 71, 1247 (2008)
Perivolaropoulos, L.: Phys. Rev. D 67, 123516 (2003)
Perivolaropoulos, L.: Phys. Rev. D 81, 047501 (2010)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Rama, S.K., Gosh, S.: Phys. Lett. B 383, 32 (1996)
Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Sen, S., Seshadri, T.R.: Int. J. Mod. Phys. D 12, 445 (2003)
Setare, M.R.: Phys. Lett. B 644, 99 (2007)
Setare, M.R., Jamil, M.: Phys. Lett. B 690, 1 (2010)
Sharif, M., Waheed, S.: Int. J. Mod. Phys. D 21, 1250082 (2012)
Sharif, M., Zubair, M.: Astrophys. Space Sci. 330, 399 (2010)
Sheykhi, A., Jamil, M.: Phys. Lett. B 284, 694 (2011)
Singh, J.P., Baghel, P.S.: Electron. J. Theor. Phys. 6, 85 (2009)
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010)
Tegmark, M., et al.: Phys. Rev. D 69, 03501 (2004)
Thiemann, T.: Lect. Notes Phys. 631, 41 (2003)
Tolman, R.C., Ehrenfest, P.: Phys. Rev. 36, 1791 (1930)
Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)
Xiao, K., Zhu, J.: Phys. Rev. D 83, 083501 (2011)
Xing-Xiang, W.: Chin. Phys. Lett. 21, 1205 (2004)
Yadav, A.K., Pradhan, A., Singh, A.K.: Astrophys. Space Sci. 337, 379 (2012)
Yang, R., Gao, X.: Class. Quantum Gravity 28, 065012 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharif, M., Waheed, S. Magnetized chameleonic Brans-Dicke cosmology and phase space analysis. Astrophys Space Sci 351, 329–349 (2014). https://doi.org/10.1007/s10509-014-1835-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-014-1835-9