Falloff of the Weyl scalars in binary black hole spacetimes

The peeling theorem of general relativity predicts that the Weyl curvature scalars Ψn (n = 0, . . . , 4), when constructed from a suitable null tetrad in an asymptotically flat spacetime, fall off asymptotically as rn−5 along outgoing radial null geodesics. This leads to the interpretation of Ψ4 as outgoing gravitational radiation at large distances from the source. We have performed numerical simulations in full general relativity of a binary black hole inspiral and merger, and have computed the Weyl scalars in the standard tetrad used in numerical relativity. In contrast with previous results [1], we observe that all the Weyl scalars fall off according to the predictions of the theorem.