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Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit

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arxiv 2506.14442 v1 pith:GJJKH5VG submitted 2025-06-17 gr-qc

Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit

Donato Bini , Giorgio Di Russo This is my paper
classification gr-qc
keywords angularexactmomentumrenormalizedresummationtopologicalactionadmits
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We show that for a Topological Star the renormalized angular momentum parameter, $\nu$, appearing in the Mano-Suzuki-Takasugi-type or in the quantum-Seiberg-Witten-type approaches of the perturbation equations, has 1) a direct link with the geodesic radial action computed along the null orbits of the background and 2) admits an exact resummation in terms of hypergeometric functions, generalizing previous results valid in the Schwarzschild case, see Ref.[arXiv:2504.07862 [hep-th]].

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Cited by 3 Pith papers

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    gr-qc 2026-07 accept novelty 7.0

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  3. Gravitational Atoms from Topological Stars

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