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Analytical correspondence between shadow radius and black hole quasinormal frequencies
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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.
Forward citations
Cited by 2 Pith papers
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Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter
In STVG with PFDM, eikonal QNM real frequencies equal multipole number over shadow radius, so shadow size and ringdown are dual photon-sphere observables.
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Scalar quasinormal modes, Lyapunov exponents and radii of null geodesics of rotating regular black holes
The paper computes scalar quasinormal modes of rotating Bardeen and Hayward black holes and finds they follow the eikonal null-geodesic relations, with Bardeen deviations up to about 19% from Kerr.
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