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The Universe Accelerated Expansion using Extra-dimensions with Metric Components Found by a New Equivalence Principle

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Curved multi-dimensional space-times (5D and higher) are constructed by embedding them in one higher-dimensional flat space. The condition that the embedding coordinates have a separable form, plus the demand of an orthogonal resulting space-time, implies that the curved multi-dimensional space-time has 4D de-Sitter subspaces (for constant extra-dimensions) in which the 3D subspace has an accelerated expansion. A complete determination of the curved multi-dimensional spacetime geometry is obtained provided we impose a new type of “equivalence principle”, meaning that there is a geodesic which from the embedding space has a rectliniar motion. According to this new equivalence principle, we can find the extra-dimensions metric components, each curved multi-dimensional spacetime surface’s equation, the energy-momentum tensors and the extra-dimensions as functions of a scalar field. The generic geodesic in each 5D spacetime are studied: they include solutions where particle’s motion along the extra-dimension is periodic and the 3D expansion factor is inflationary (accelerated expansion). Thus, the 3D subspace has an accelerated expansion.

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  1. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    E. Guendelman & H. Ruchvarger

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  1. E. Guendelman
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  2. H. Ruchvarger
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Guendelman, E., Ruchvarger, H. The Universe Accelerated Expansion using Extra-dimensions with Metric Components Found by a New Equivalence Principle. Found Phys 36, 1846–1868 (2006). https://doi.org/10.1007/s10701-006-9084-6

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  • DOI: https://doi.org/10.1007/s10701-006-9084-6

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