Kerr spacetime and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913993761751040 |
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| author | Bini, Donato Di Russo, Giorgio Geralico, Andrea |
| author_facet | Bini, Donato Di Russo, Giorgio Geralico, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12046 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kerr spacetime and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit Bini, Donato Di Russo, Giorgio Geralico, Andrea General Relativity and Quantum Cosmology 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. |
| title | Kerr spacetime and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.12046 |