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Scalar perturbations in a Top-Star spacetime

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arxiv 2407.10868 v1 pith:42KBNLQC submitted 2024-07-15 gr-qc

Massimo Bianchi , Donato Bini , Giorgio Di Russo This is my paper · ORCID
classification gr-qc
keywords spacetimeformalismscalarblackfieldholequantumregularization
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We discuss the dynamics of a (neutral) test particle in Topological Star spacetime undergoing scattering processes by a superposed test radiation field, a situation that in a 4D black hole spacetime is known as relativistic Poynting-Robertson effect, paving the way for future studies involving radiation-reaction effects. Furthermore, we study self-force-driven evolution of a scalar field, perturbing the Top-Star spacetime with a scalar charge current. The latter for simplicity is taken to be circular, equatorial and geodetic. To perform this study, besides solving all the self-force related problem (regularization of all divergences due to the self-field, mode sum regularization, etc.), we had to adapt the 4D Mano-Suzuki-Takasugi formalism to the present 5D situation. Finally, we have compared this formalism with the (quantum) Seiberg-Witten formalism, both related to the solutions of a Heun Confluent Equation, but appearing in different contexts in the literature, black hole perturbation theory the first, quantum curves in super-Yang-Mills theories the second.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation

    gr-qc 2026-07 conditional novelty 7.0 of 10

    An original MST-like formalism is constructed for the reduced confluent Heun radial equation of 5D Schwarzschild-Tangherlini scalars, validated by matching the renormalized angular momentum to the quantum Seiberg-Witt...

  2. The radial action for massive particles in spherically symmetric geometries: Exact resummation at any PM order

    gr-qc 2026-07 conditional novelty 6.0 of 10

    The massive-particle radial action and scattering angle in Schwarzschild, Schwarzschild-Tangherlini and D3-brane geometries are resummed in hypergeometric/Fox-Wright form, and the massive scalar quantum a-cycle is ide...

  3. "Waveforms" at the Horizon

    gr-qc 2026-02 conditional novelty 6.0 of 10

    A probe scattering off a Schwarzschild black hole transfers a definite leading-order post-Minkowskian angular momentum to the horizon, given by new closed formulas (3.24b), (3.29), (3.36).

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

    gr-qc 2025-06 conditional novelty 6.0 of 10

    For Topological Stars, the eikonal-limit renormalized angular momentum is expressed as hypergeometric functions tied to the null geodesic radial action, generalizing the Schwarzschild resummation.

  5. Scattering angle in a Topological Star spacetime: a self-force approach

    gr-qc 2025-06 conditional novelty 6.0 of 10

    An analytic, large-angular-momentum scattering angle for unbound geodesics and scalar self-force in Topological Star spacetime, with an unresolved regulator in the conservative self-force piece.

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