The embedding of the spacetime in five dimensions: an extension of Campbell-Magaard theorem

Details The embedding of the spacetime in five dimensions: an extension of Campbell-Magaard theorem The embedding of the spacetime in five dimensions: an extension of Campbell-Magaard theorem

2001-09-21

arxiv.org/abs/gr-qc/0109076v2

J.Math.Phys. 43 (2002) 5804-5814

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22pages, Revtex

Scientific paper

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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