The embedding of the spacetime in five dimensions: an extension of Campbell-Magaard theorem
F. Dahia, C. Romero
Abstract
We extend Campbell-Magaard embedding theorem by proving that any n-dimensional semi-Riemannian manifold can be locally embedded in an (n+1)-dimensional Einstein space. We work out some examples of application of the theorem and discuss its relevance in the context of modern higher-dimensional spacetime theories.
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