Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime

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In this paper we study the correspondence between the real part of quasinormal modes (QNMs) and the shadow radius in a wormhole spacetime.

• Firstly we consider the above correspondence in a static and spherically symmetric wormhole spacetime and then explore this correspondence numerically by considering different wormhole models having specific redshift functions.
• To this end, we generalize this correspondence to the rotation wormhole spacetime and calculate the typical shadow radius of the rotating wormhole when viewed from the equatorial plane.
• We argue that due to the rotation and depending on the specific model, the typical shadow radius can increase or decrease and a reflecting point exists.