Embedding Gödel's universe in five dimensions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1142/S0217732306019001

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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