Embeddings in Spacetimes Sourced by Scalar Fields
arXiv:gr-qc/0111094 · doi:10.1063/1.1610237
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.
RevTEX (11 pages)/ To appear in the Journal of Mathematical Physics