Abstract
We discuss Godel's universe in the context of the induced-matter theory. We show that the problem of generating Godel's metric from an extra dimension is equivalent to finding an embedding of Godel's universe in a Ricci-flat five-dimensional space. On the other hand, according to the Campbell-Magaard theorem, any spacetime can be locally embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. We obtain explicitly a global embedding of Godel's universe which is Ricci-flat and has a non-Lorentzian signature of type (++---).
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