For asymptotically regular spacetimes, parity-time reversal symmetry of the leading and subleading initial data implies the Weyl scalars Psi2 and Psi1 peel at null infinity with rates 1/r^3 and 1/r^4.
This is not a feature of the standard wave equation but rather a consequence of the initial data (2.2)
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From spatial to null infinity: Connecting initial data to peeling
For asymptotically regular spacetimes, parity-time reversal symmetry of the leading and subleading initial data implies the Weyl scalars Psi2 and Psi1 peel at null infinity with rates 1/r^3 and 1/r^4.