%0 Journal Article
%T Dynamically generated embeddings of spacetime
%A F. Dahia
%A C. Romero
%J Mathematics
%D 2005
%I arXiv
%R 10.1088/0264-9381/22/23/006
%X We discuss how embeddings in connection with the Campbell-Magaard (CM) theorem can have a physical interpretation. We show that any embedding whose local existence is guaranteed by the CM theorem can be viewed as a result of the dynamical evolution of initial data given in a four-dimensional spacelike hypersurface. By using the CM theorem, we establish that for any analytic spacetime, there exist appropriate initial data whose Cauchy development is a five-dimensional vacuum space into which the spacetime is locally embedded. We shall see also that the spacetime embedded is Cauchy stable with respect these the initial data.
%U http://arxiv.org/abs/gr-qc/0503103v2