Embeddings in Spacetimes Sourced by Scalar Fields
General Relativity and Quantum Cosmology
2014-11-17 v2
Abstract
The extension of the Campbell-Magaard embedding theorem to general relativity with minimally-coupled scalar fields is formulated and proven. The result is applied to the case of a self-interacting scalar field for which new embeddings are found, and to Brans-Dicke theory. The relationship between Campbell-Magaard theorem and the general relativity, Cauchy and initial value problems is outlined.
Cite
@article{arxiv.gr-qc/0111094,
title = {Embeddings in Spacetimes Sourced by Scalar Fields},
author = {E. Anderson and F. Dahia and James E. Lidsey and C. Romero},
journal= {arXiv preprint arXiv:gr-qc/0111094},
year = {2014}
}
Comments
RevTEX (11 pages)/ To appear in the Journal of Mathematical Physics