Submanifolds in spacetime with an auxiliary unphysical extra dimension and four-dimensional open and closed FRW universes
General Relativity and Quantum Cosmology
2011-11-07 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1012.0320,
title = {Submanifolds in spacetime with an auxiliary unphysical extra dimension and four-dimensional open and closed FRW universes},
author = {Igor E. Gulamov and Mikhail N. Smolyakov},
journal= {arXiv preprint arXiv:1012.0320},
year = {2011}
}
Comments
Considerably modified version of this preprint (with many important references added and enlarged content) is arXiv:1111.0687