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arXiv · gr-qc/0503103

Dynamically generated embeddings of spacetime

F. Dahia·C. Romero
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Abstract

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.

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F. Dahia, C. Romero. 2005-10-18. Dynamically generated embeddings of spacetime. https://doi.org/10.1088/0264-9381%2F22%2F23%2F006

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