Kasner Solution in Brans–Dicke Theory and Its Corresponding Reduced Cosmology

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 60)

Abstract

We present a brief review of the modified Brans–Dicke theory (MBDT) in arbitrary dimensions, whereby the (N + 1)-dimensional field equations reduce to the N-dimensional (ND) configuration with sources and an effective induced scalar potential. We then investigate a generalized Bianchi type I anisotropic cosmology in 5D BD theory that leads to an extended Kasner solution. By employing the original equations of MBDT, we probe the reduced Kasner cosmology on the hypersurface with proceeding the investigations for a few cosmological quantities, explaining their properties for some cosmological models.

Keywords

Deceleration Parameter Cosmic Time Kasner Solution Cosmological Scale Factor Cosmological Quantity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

I sincerely appreciate to Prof. Paulo Vargas Moniz for a critical reading of the letter. I am supported by the Portuguese Agency Fundação para a Ciência e Tecnologia through the fellowship SFRH/BPD/82479/2011.

References

  1. 1.
    P. S. Wesson and J. Ponce de Leon, J. Math. Phys. 33, 3883 (1992).Google Scholar
  2. 2.
    J. Ponce de Leon, JCAP 03, 030 (2010).Google Scholar
  3. 3.
    S. M. M. Rasouli, M. Farhoudi and P. V. Moniz “Modified Brans-Dicke Theory in Arbitrary Dimensions”, work in progress.Google Scholar
  4. 4.
    S. M. M. Rasouli, M. Farhoudi and H. R. Sepangi, Class. Quantum Grav. 28, 155004 (2011).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Departamento de FísicaUniversidade da Beira InteriorCovilhãPortugal

Personalised recommendations