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.
Polarization Whorls from M87* at the Event Horizon Telescope
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abstract
The Event Horizon Telescope (EHT) is expected to soon produce polarimetric images of the supermassive black hole at the center of the neighboring galaxy M87. There are indications that this black hole is rapidly spinning. General relativity predicts that such a high-spin black hole has an emergent conformal symmetry near its event horizon. In this paper, we use this symmetry to analytically predict the polarized near-horizon emissions to be seen at the EHT and find a distinctive pattern of whorls aligned with the spin.
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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.