Embedding G\"{o}del's universe in five dimensions
General Relativity and Quantum Cosmology
2010-11-11 v2
Abstract
According to the Campbell-Magaard theorem, any analytical spacetime can be locally and analytically embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. We find explicitly this embedding for Godel's universe. The embedding space is Ricci-flat and has a non-Lorentzian signature of type (++--). We also show that the embedding found is global.
Cite
@article{arxiv.gr-qc/0503122,
title = {Embedding G\"{o}del's universe in five dimensions},
author = {J. B. Fonseca-Neto and C. Romero and F. Dahia},
journal= {arXiv preprint arXiv:gr-qc/0503122},
year = {2010}
}
Comments
(8 pages). Serious typos corrected. (To appear in Mod. Phys. Lett. A)