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

2025/06/17 by Bini, Donato, Di Russo, Giorgio · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2506.14442

Abstract

We show that for a Topological Star the renormalized angular momentum parameter, ν, 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]].

Citations

• Scattering angle in a Topological Star spacetime: a self-force approach
• Characterizing geodesic deviations in a Topological Star spacetime: massive, charged, spinning and stringy-like objects
• Extreme mass ratio inspirals around topological stars
• Resummation of Universal Tails in Gravitational Waveforms
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Scalar waves from unbound orbits in a TS spacetime: PN reconstruction of the field and radiation losses in a self-force approach
• Nonradial stability of topological stars
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Scalar waves in a Topological Star spacetime: self-force and radiative losses
• Spectroscopy of magnetized black holes and topological stars
• Non-spinning tops are stable
• Sourced metric perturbations of Kerr spacetime in Lorenz gauge
• Charge (in)stability and superradiance of Topological Stars
• Tidal resonances for fuzzballs
• On the stability and deformability of top stars
• Notes on AdS-Schwarzschild eikonal phase
• Black Hole Quasinormal Modes and Seiberg-Witten Theory
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Post-Newtonian Theory for Gravitational Waves

Cited by

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

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