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arxiv 2202.03837 v2 pith:QTFJGE4T submitted 2022-02-08 gr-qc

Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates

classification gr-qc
keywords quasinormaleigenfunctionsequationhorizonteukolskycompactifiedcoordinateshyperboloidally
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the quasinormal mode eigenvalues and eigenfunctions for the Teukolsky equation in a horizon penetrating, hyperboloidally compactified (HPHC) coordinate system. Following earlier work by Zengino\u{g}lu (arXiv:1102.2451), we show that the quasinormal eigenfunctions for the Teukolsky equation are regular from the black hole horizon to future null infinity in these coordinates. We then present several example quasinormal eigenfunction solutions, and study some of their properties in the near-extremal Kerr limit.

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Cited by 1 Pith paper

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  1. The quasinormal modes of the rotating quantum corrected black holes

    gr-qc 2025-10 unverdicted novelty 4.0

    The work calculates scalar quasinormal mode spectra for a rotating quantum-corrected black hole and constructs a methodological pipeline to infer the quantum correction parameter from gravitational-wave ringdown data ...