Topological stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
Year: 2025
Type: article
Abstract: We show that for a topological star the renormalized angular momentum parameter, $\ensuremath{\nu}$, appearing in the Mano-Suzuki-Takasugi-type or in the quantum-Seiberg-Witten-type approaches of the perturbation equations, (1) has 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 [M. M. Ivanov, Y. Z. Li, J. Parra-Martinez, and Z. Zhou, Resummation of universal tails in gravitational waveforms, arXiv:2504.07862.].
DOI: 10.1103/dw5y-4pv8
Authors: Donato Bini, Giorgio Di Russo
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414041172