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 nonrotating 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 bounded within a certain range, where is azimuthal node number and is the angular node number. We discuss the possibility of testing such relation with spaceborne gravitational wave detectors and the next-generation Event Horizon Telescope.
- Received 1 March 2021
- Accepted 19 March 2021
DOI:https://doi.org/10.1103/PhysRevD.103.084010
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