%0 Journal Article
%T Embeddings in Spacetimes Sourced by Scalar Fields
%A E. Anderson
%A F. Dahia
%A James E. Lidsey
%A C. Romero
%J Mathematics
%D 2001
%I arXiv
%R 10.1063/1.1610237
%X 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.
%U http://arxiv.org/abs/gr-qc/0111094v2