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pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes

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arxiv 2412.08551 v1 pith:PPDYRXPP submitted 2024-12-11 hep-th gr-qc

Daniel Kapec , Ahmed Sheta This is my paper
classification hep-thgr-qc
keywords limitblackholesymmetriesemergentgeodesicshorizonovertones
verification ladder T0 review T1 audit T2 compute T3 formal
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There are two interesting classes of trapped null geodesics in any black hole spacetime: those that lie on the photon ring and those that generate the horizon. Recent work introduced a "near-ring" scaling limit that exhibits the emergent symmetries of the eikonal quasinormal mode (QNM) spectrum associated to the photon ring. This analysis was reformulated geometrically by Fransen using the Penrose limit, which produces pp-waves from geodesics. We elaborate on and generalize various aspects of this construction for the Schwarzschild black hole. We also discuss the Penrose limit onto the horizon generators. This second limit, although technically simpler, also displays emergent near-horizon symmetries that explain the equally-spaced overtones of the highly-damped QNM spectrum. In both examples, symmetry considerations distinguish the QNM solutions from the scattering states and produce overtones as descendants.

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Cited by 4 Pith papers

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

  1. Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

    gr-qc 2025-09 conditional novelty 7.0 of 10

    Second-order gravitational perturbations on plane waves are solved with a GHP master equation and tensor harmonics, yielding quadratic quasinormal mode ratios and selection rules.

  2. Ringdown waves from hairy black holes

    gr-qc 2026-03 unverdicted novelty 6.0 of 10

    Ringdown frequency and damping shifts of Schwarzschild/Kerr black holes are expressed through the density and anisotropic pressures of the surrounding matter, giving a perturbative map from hairy-black-hole models to ...

  3. Photon rings in a holographic toy model

    hep-th 2025-06 conditional novelty 6.0 of 10

    In warped AdS3 black holes, the eikonal quasinormal-mode spectrum is governed exactly by the photon ring's orbital frequency and Lyapunov exponent, with different boundary conditions picking out the outer or inner ring.

  4. Why there is no Love in black holes

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Stationary, axisymmetric Kerr perturbations carry an exact SL(2,R) conformal symmetry, and its representation structure forbids tidal response: black hole Love numbers vanish.

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