Embedding G\"{o}del's universe in five dimensions

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.