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Relating Black Hole Shadow to Quasinormal Modes for Rotating Black Holes
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abstract
In this work, we explore the connection between the critical curves ("shadows") and the quasinormal mode frequencies (in the eikonal limit) of Kerr black holes. This mapping has been previously established for non-rotating black holes. We show that, the shadow seen by an distant observer at a given inclination angle, can be mapped to a family of quasinormal modes with $m/(\ell+1/2)$ bounded within certain range, where $m$ is is azimuthal node number and $\ell$ is the angular node number. We discuss the possibility of testing such relation with space-borne gravitational wave detectors and the next-generation Event Horizon Telescope.
Forward citations
Cited by 2 Pith papers
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Investigating Optical and Ring-Down Gravitational Wave Properties of a Rotating Black Hole in a Dehnen Galactic Dark Matter Halo
A Kerr-like rotating black hole spacetime with an added Dehnen halo term is analyzed for horizon, shadow, and quasinormal mode signatures.
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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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