On Applications of Campbell's Embedding Theorem
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
A little known theorem due to Campbell is employed to establish the local embedding of a wide class of 4-dimensional spacetimes in 5-dimensional Ricci-flat spaces. An embedding for the class of n-dimensional Einstein spaces is also found. The local nature of Campbell's theorem is highlighted by studying the embedding of some lower-dimensional spaces.
Cite
@article{arxiv.gr-qc/9907040,
title = {On Applications of Campbell's Embedding Theorem},
author = {James E. Lidsey and Carlos Romero and Reza Tavakol and Steve Rippl},
journal= {arXiv preprint arXiv:gr-qc/9907040},
year = {2008}
}
Comments
17 pages, standard Latex source