Submanifolds in spacetime with an auxiliary unphysical extra dimension and four-dimensional open and closed FRW universes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Considerably modified version of this preprint (with many important references added and enlarged content) is arXiv:1111.0687

Scientific paper

The explicit coordinate transformations which show the equivalence between
the FRW metrics of four-dimensional open and closed universes and the metrics
induced on appropriate submanifolds in a five-dimensional pseudo-Euclidean
space-time are presented.

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