Dynamically generated embeddings of spacetime
Dahia, F. ; Romero, C.
arXiv, 0503103 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-03-23
Classification:  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematical Physics 
@article{0503103,
     author = {Dahia, F. and Romero, C.},
     title = {Dynamically generated embeddings of spacetime},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503103}
}

Dahia, F.; Romero, C. Dynamically generated embeddings of spacetime. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503103/