Abstract
Universal spacetimes are vacuum solutions to all theories of gravity with the Lagrangian L = L(gab, Rabcd, ∇a1 Rbcde,…, ∇a1…ap Rbcde). Well known examples of universal spacetimes are plane waves which are of the Weyl type N. Here, we discuss recent results on necessary and sufficient conditions for all Weyl type N spacetimes in arbitrary dimension and we conclude that a type N spacetime is universal if and only if it is an Einstein Kundt spacetime. We also summarize the main points of the proof of this result.
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