Embedding Gödel's universe in five dimensions

Abstract

According to the Campbell-Magaard theorem, any analytical spacetime can be locally and analytically embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. We find explicitly this embedding for Godel's universe. The embedding space is Ricci-flat and has a non-Lorentzian signature of type (++--). We also show that the embedding found is global.

(8 pages). Serious typos corrected. (To appear in Mod. Phys. Lett. A)

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• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• A five-dimensional vacuum-defect wormhole space-time
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter