The embedding of the space–time in five dimensions: An extension of the Campbell–Magaard theorem

@inproceedings{Dahia2002TheEO,
  title={The embedding of the space–time in five dimensions: An extension of the Campbell–Magaard theorem},
  author={F. Dahia and Carlos Romero},
  year={2002}
}
We extend the 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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