Peeling theorem


In general relativity, the peeling theorem describes the asymptotic behavior of the Weyl tensor as one goes to . Let be a null geodesic in a spacetime from a point p to null infinity, with affine parameter. Then the theorem states that, as tends to infinity:
where is the Weyl tensor, and we used the abstract index notation. Moreover, in the Petrov classification, is type N, is type III, is type II and is type I.