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Quasinormal Modes from Penrose Limits

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arxiv 2301.06999 v1 pith:BMNR7J6N submitted 2023-01-17 gr-qc

Kwinten Fransen This is my paper
classification gr-qc
keywords modespenrosequasinormalplanewaveblackholeslimit
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abstract

We use Penrose limits to approximate quasinormal modes with large real frequencies. The Penrose limit associates a plane wave to a region of spacetime near a null geodesic. This plane wave can be argued to geometrically realize the geometrical optics approximation. Therefore, when applied to the bound null orbits around black holes, the Penrose limit can be used to study quasinormal modes. For instance, this Penrose limit point of view makes manifest the symmetry that emerges in the geometrical optics approximation of quasinormal modes in terms of isometries of the resulting plane wave spacetime. We apply the procedure to warped $\rm{AdS}_3$, Schwarzschild black holes and Kerr black holes. In the former we show explicitly how the symmetry algebra contracts to that of the limiting plane wave while in the latter we find the expected agreement with numerically computed quasinormal modes for large (real) frequencies.

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Cited by 6 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. Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

    gr-qc 2025-07 conditional novelty 7.0 of 10

    Kerr quadratic quasi-normal mode amplitudes and phases are computed analytically in the eikonal limit via the Penrose limit, giving an explicit spin-dependent nonlinearity ratio.

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    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 ...

  5. Black Hole Mergers as the Fastest Photon Ring Scramblers

    gr-qc 2026-03 conditional novelty 6.0 of 10

    Merger remnant mass and spin are claimed to maximize the average Lyapunov exponent of the photon shell of an effective Kerr black hole, matching numerical relativity fits within a few percent for q ≲ 20.

  6. 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.

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