Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit

2025/03/12 by Alex Kehagias, Kehagias, Alex, Davide Perrone +3 · 6 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Pulsars and Gravitational Waves Research #Radio Astronomy Observations and Technology

paper · pdf · doi:10.48550/arxiv.2503.09350

openalex publication_date 2025/03/12 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities in the quasi-normal modes of a Schwarzschild black hole for the (ℓ×ℓ)→ 2ℓ channel. We demonstrate that this result is independent of ℓ and further confirm it through symmetry arguments.

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