Flat-space photon and graviton scattering off a heavy charged source reproduces the exact Moncrief mixing matrix that decouples Reissner-Nordstrom perturbations for every multipole ell >= 2.
The parity-projected partial-wave matrix in the helicity convention is ( AP,hel ℓ ) JI = ∫1 −1 dz [ dℓ sJ,sIfJI +sJ,+sI +Pη IdℓsJ,−sIfJI +sJ,−sI
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On-Shell Amplitudes and Black-Hole Perturbations: Exact Reissner-Nordstr\"om Mixing
Flat-space photon and graviton scattering off a heavy charged source reproduces the exact Moncrief mixing matrix that decouples Reissner-Nordstrom perturbations for every multipole ell >= 2.