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Kerr spacetime and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit

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arxiv 2508.12046 v1 pith:3WEIP2F6 submitted 2025-08-16 gr-qc

Kerr spacetime and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit

Donato Bini , Giorgio Di Russo , Andrea Geralico This is my paper
classification gr-qc
keywords kerractionangularmomentumpreviousradialrenormalizedspacetime
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We show that the null geodesic radial action for unbound orbits in the Kerr spacetime, and consequently the scattering angle, can be resummed in terms of hypergeometric functions, extending previous results [M.~M.~Ivanov, et al. arXiv:2504.07862]. We provide explicit expressions as series expansions in powers of the Kerr rotational parameter up the fourth order included. We finally use the Mano-Suzuki-Takasugi formalism to prove the relation between the renormalized angular momentum and the radial action highlighted in previous works.

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