Einstein spaces in warped geometries in five dimensions
arXiv:gr-qc/0307041 · doi:10.1103/PhysRevD.68.123503
Abstract
We investigate five dimensional Einstein spaces in warped geometries from the point of view of the four dimensional physically relevant Robertson-Walker-Friedman cosmological metric and the Schwarzschild metric. We show that a four-dimensional cosmology with a closed spacelike section and a cosmological constant can be imbedded into five-dimensional flat space-time.
4 pages, Revtex, typos corrected
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- Exact solutions of embedding the four-dimensional perfect fluid in a five- or higher-dimensional Einstein spacetime and the cosmological interpretations