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Charge (in)stability and superradiance of Topological Stars

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arxiv 2405.06566 v2 pith:QK62LUHX submitted 2024-05-10 hep-th

Andrea Cipriani , Carlo Di Benedetto , Giorgio Di Russo , Alfredo Grillo , Giuseppe Sudano This is my paper · ORCID
classification hep-th
keywords blackchargestarstopologicalchargedfrequenciesintegrationlinear
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We study linear massive scalar charged perturbations of Topological Stars in the fuzzball and in the black hole (Black String) regimes. The objects that naturally couple to the electric 3-form field strength of these solutions are charged strings, wound around the compact direction. We explore the possibility of instabilities of these solutions, in analogy with the charge instability already highlighted for other non-BPS geometries like JMaRT. This issue is addressed by calculating quasi-normal mode frequencies with a variety of techniques: WKB approximation, direct integration, Leaver method and by exploiting the recently discovered correspondence between black hole-fuzzball perturbation theory and quantum Seiberg-Witten curves. All mode frequencies we find have negative imaginary parts, implying an exponential decay in time. This suggests a linear stability of Topological Stars also in this new scenario. In addition, we study the charge superradiance for the Black String. We compute the amplification factor with the numerical integration method and a quantum Seiberg-Witten motivated definition including instantonic corrections.

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Cited by 5 Pith papers

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  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

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    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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