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Open and Closed World Models in Kaluza-Klein-Theory with Variables G and Λ

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Abstract

The field equation of higher dimensions theory, have been applied in the area of cosmology. The resulting differential equations are solved for open and closed. We derive a relation between the Einstein constant G(t) and the cosmological constant Λ(t) from the conservation law T μ ν ;ν =0. We give a specific form of Λ(t) to solve the non-linear differential equations. Some cosmological parameters are calculated and some relevant cosmological problems are discussed.

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Notes

  1. 1 In [52] solution of Eqs. (4), (5), (6), (9) has been obtained for the flat case and the relevant cosmological parameters are also calculated

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Acknowledgments

This work is partially supported by the EgyptianMinistry of Scientific Research under project ID 24-2-12.

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Authors and Affiliations

  1. Center for Theoretical Physics, British University in Egypt, Sherouk City, 11837, P.O. Box 43, Egypt

    Gamal G. L. Nashed

  2. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt

    Gamal G. L. Nashed

  3. Egyptian Relativity Group (ERG), ᅟ, ᅟ

    Gamal G. L. Nashed

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L. Nashed, G.G. Open and Closed World Models in Kaluza-Klein-Theory with Variables G and Λ. Int J Theor Phys 53, 3910–3926 (2014). https://doi.org/10.1007/s10773-014-2142-5

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  • DOI: https://doi.org/10.1007/s10773-014-2142-5

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