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

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Progress in Mathematical Relativity, Gravitation and Cosmology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((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.

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References

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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.

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Authors and Affiliations

  1. Departamento de Física, Universidade da Beira Interior, 6200, Covilhã, Portugal

    Seyed M. M. Rasouli

Authors
  1. Seyed M. M. Rasouli
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Correspondence to Seyed M. M. Rasouli .

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Editors and Affiliations

  1. Dept. of Mathematics, University of Minho, Braga, Portugal

    Alfonso García-Parrado

  2. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe C. Mena

  3. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe Moura

  4. Dept. of Mathematics, University of Minho, Braga, Portugal

    Estelita Vaz

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Rasouli, S.M.M. (2014). Kasner Solution in Brans–Dicke Theory and Its Corresponding Reduced Cosmology. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_55

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