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Analytical correspondence between shadow radius and black hole quasinormal frequencies

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arxiv 2005.09761 v1 pith:YITJ4MSF submitted 2020-05-19 gr-qc hep-th

Analytical correspondence between shadow radius and black hole quasinormal frequencies

B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira This is my paper
classification gr-qc hep-th
keywords blackholequasinormalshadowanalyticalcorrespondencefrequenciesradius
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abstract

We consider the equivalence of quasinormal modes and geodesic quantities recently brought back due to the black hole shadow observation by Event Horizon Telescope. Using WKB method we found an analytical relation between the real part of quasinormal frequencies at the eikonal limit and black hole shadow radius. We verify this correspondence with two black hole families in $4$ and $D$ dimensions, respectively.

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  1. Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter

    gr-qc 2026-03 conditional novelty 4.0

    In STVG with PFDM, eikonal QNM real frequencies equal multipole number over shadow radius, so shadow size and ringdown are dual photon-sphere observables.