Self-similar cosmologies in 5D: our universe as a topological separation from an empty 5D Minkowski space
- Laboratory of Theoretical Physics, Department of Physics, University of Puerto Rico, PO Box 23343, San Juan, PR 00931 (Puerto Rico)
In this paper we find the most general self-similar, homogeneous and isotropic, Ricci-flat cosmologies in 5D. These cosmologies show a number of interesting features: (i) the field equations allow a complete integration in terms of one arbitrary function of the similarity variable, and a free parameter; (ii) the three-dimensional spatial surfaces are flat; (iii) the extra dimension is spacelike; (iv) the general solution is Riemann-flat in 5D but curved in 4D, which means that an observer confined to 4D spacetime can relate this curvature to the presence of matter, as determined by the Einstein equations in 4D. We show that these cosmologies can be interpreted, or used, as 5D Riemann-flat embeddings for spatially flat FRW cosmologies in 4D. In this interpretation our universe arises as a topological separation from an empty 5D Minkowski space, as envisaged by Zeldovich.
- OSTI ID:
- 22137817
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 03; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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