Minimal Embeddings of the Space-Time

Details Minimal Embeddings of the Space-Time Minimal Embeddings of the Space-Time

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1767c&link_type=abstract

In: The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF),

Physics

Nonsingular Cosmology, Inflation

Scientific paper

We give a brief discussion of minimal embeddings of the space-time in the context of the Campbell-Magaard theorem. We state the result that it is possible to minimally embed a n-dimensional semi-Riemannian manifold in a (n+1)-dimensional semi-Riemannian Ricci-flat space. This result can be extended to the case when the embedding manifold is an Einstein space.

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