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Embedding Gödel's universe in five dimensions

J. B. Fonseca-Neto·C. Romero·F. Dahia
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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.

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J. B. Fonseca-Neto, C. Romero, F. Dahia. 2005-10-19. Embedding Gödel's universe in five dimensions. https://doi.org/10.1142/s0217732306019001

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