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We extend Campbell-Magaard embedding theorem by proving that anyn-dimensional semi-Riemannian manifold can be locally embedded in an(n+1)-dimensional Einstein space. We work out some examples of application ofthe theorem and discuss its relevance in the context of modernhigher-dimensional spacetime theories.Comment: 22pages, Revte

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