For the self-dual black hole (NUT charge equal to mass), perihelion precession vanishes to all orders in G, and the exact quantum amplitude is the Fourier transform of the exponentiated classical eikonal phase.
Radiation damping in a gravitationa l field,
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An Exact Black Hole Scattering Amplitude
For the self-dual black hole (NUT charge equal to mass), perihelion precession vanishes to all orders in G, and the exact quantum amplitude is the Fourier transform of the exponentiated classical eikonal phase.