caa a22 4500 467906211 CHVBK 20180406152835.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10701-006-9084-6 doi (NATIONALLICENCE)springer-10.1007/s10701-006-9084-6 The Universe Accelerated Expansion using Extra-dimensions with Metric Components Found by a New Equivalence Principle [Elektronische Daten] [E. Guendelman, H. Ruchvarger] 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. Springer Science+Business Media, LLC, 2006 multidimensional spacetimes nationallicence accelerated expansion nationallicence equivalence principle nationallicence extra-dimensions nationallicence Guendelman E. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel aut Ruchvarger H. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel aut Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/12(2006-12-01), 1846-1868 0015-9018 36:12<1846 2006 36 10701 https://doi.org/10.1007/s10701-006-9084-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-006-9084-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guendelman E. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel aut NATIONALLICENCE 700 1- Ruchvarger H. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/12(2006-12-01), 1846-1868 0015-9018 36:12<1846 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer