Embeddings in Non-Vacuum Spacetimes
General Relativity and Quantum Cosmology
2009-11-07 v2
Abstract
A scheme is discussed for embedding n-dimensional, Riemannian manifolds in an (n+1)-dimensional Einstein space. Criteria for embedding a given manifold in a spacetime that represents a solution to Einstein's equations sourced by a massless scalar field are also discussed. The embedding procedures are illustrated with a number of examples.
Cite
@article{arxiv.gr-qc/0106090,
title = {Embeddings in Non-Vacuum Spacetimes},
author = {Edward Anderson and James E. Lidsey},
journal= {arXiv preprint arXiv:gr-qc/0106090},
year = {2009}
}
Comments
17 pages, Plain Latex. Extended discussion on embeddings with scalar fields and further examples included. In press, Classical and Quantum Gravity