Relating black hole shadow to quasinormal modes for rotating black holes

@article{Yang2021RelatingBH,
  title={Relating black hole shadow to quasinormal modes for rotating black holes},
  author={Huan Yang},
  journal={Physical Review D},
  year={2021},
  volume={103}
}
  • Huan Yang
  • Published 26 January 2021
  • Physics
  • Physical Review D
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… 

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