Abstract
We investigate five-dimensional Brans–Dicke cosmology with spacetime described by the homogeneous, anisotropic and flat spacetime with the topology M 1×R 3×S 1 where S 1 is taken in the form of a circle. We conjecture throughout this letter that the extra-dimension compactifies as the visible dimensions expand like b(t)≈a −1(t) and that the non-minimal coupling between the scalar field and the matter is of the form f(φ)∝ φ 2. The model gives rise to a transition from a decelerated epoch to an accelerated epoch for large values of the Brans–Dicke parameter ω. The model predicts crossing of the phantom divided barrier unless the universe is governed by a growing matter field.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Amendola, L., Baldi, M., Wetterich, C.: Phys. Rev. D 78, 023015 (2008)
Anderson, J.D., et al.: Acta Astron. 5, 43 (1978)
Blaschke, D., Dabrowski, M.P.: hep-th/0407078 (2004)
Bhowmik, B.B., Rajput, A.: Indian J. Pure Appl. Math. 34(8), 1189 (2003)
Cunha, J.V.: Phys. Rev. D 79, 047301 (2009)
Das, S., Banerjee, N.: Phys. Rev. D 78, 043512 (2008)
Das, S., Corasaniti, P.S., Khoury, J.: Phys. Rev. D 73, 083509 (2006)
El-Nabulsi, A.R.: Mod. Phys. Lett. A 23(6), 40 (2008a)
El-Nabulsi, A.R.: Chin. Phys. Lett. 25(8), 2785 (2008b)
El-Nabulsi, A.R.: Int. J. Mod. Phys. D 18(2), 289 (2009a)
El-Nabulsi, A.R.: Int. J. Mod. Phys. D 18(15), 691 (2009b)
El-Nabulsi, A.R.: Commun. Theor. Phys. (2009c, in press)
El-Nabulsi, A.R.: Gen. Relativ. Gravit. doi:10.1007/s10714-009-0911-x (2009d, in press)
El-Nabulsi, A.R.: Astrophys. Space Sci. 325(2), 149 (2009e)
El-Nabulsi, A.R.: Astrophys. Space Sci. 325(2), 277 (2009f)
El-Nabulsi, A.R.: Astrophys. Space Sci. 324(1), 71 (2009g)
El-Nabulsi, A.R.: Astrophys. Space Sci. doi:10.1007/s10509-009-0259-4 (2009h, in press)
El-Nabulsi, A.R.: Astrophys. Space Sci. doi:10.1007/s10509-009-0262-9 (2009i, in press)
Freedman, W.L., Turner, M.S.: Rev. Mod. Phys. 75, 1433 (2003)
Gannouji, R., Polarski, D., Ranquet, A., Starobinsky, A.A.: J. Cosmol. Astropart. Phys. 0609, 016 (2006)
Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods. Mod. Phys. 4, 115 (2007)
Perivolaropoulos, L.: J. Cosmol. Astropart. Phys. 0510, 001 (2005)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Persic, M., Salucci, P., Stel, F.: Mon. Not. R. Astron. Soc. 281, 27 (1996)
Qiang, L.-E., Gong, Y., Ma, Y., Chen, X.: arXiv:0910.1885 (2009)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)
Schmidt, et al.: Astrophys. J. 507, 46 (1998)
Setare, M.R.: Phys. Lett. B 641, 130 (2006a)
Setare, M.R.: Phys. Lett. B 642, 1 (2006b)
Setare, M.R.: Phys. Lett. B 644, 99 (2007)
Setare, M.R.: Int. J. Mod. Phys. D 18, 419 (2009)
Setare, M.R., Saridakis, M.: J. Cosmol. Astropart. Phys. 0809, 026 (2008a)
Setare, M.R., Saridakis, M.: Phys. Lett. B 668, 177 (2008b)
Silva, F.P., Koyama, K.: arXiv:0909.4538 (2009)
Singh, G.P., Deshpande, R.V., Singh, T.: PRAMANA—J. Phys. 63(5), 937 (2004)
Steinhardt, P.J., Wang, L., Zlatev, I.: Phys. Rev. D 59, 123504 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
El-Nabulsi, A.R. Five-dimensional Brans–Dicke M 1×R 3×S 1 cosmology with chameleon scalar field. Astrophys Space Sci 327, 111–115 (2010). https://doi.org/10.1007/s10509-010-0281-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-010-0281-6