Holographic Einstein ring of a black hole with torsion
We delve into holographic duality and investigate the Einstein rings associated with a black hole that possesses torsion.This paper is centered around a time-dependent Gaussian wave source located at the AdS boundary,which is used to investigate the response function.Furthermore,we utilize an optical system equipped with a convex lens to observe the Einstein ring on the screen.Notably,the position angle of the observer directly affects the appearance of the spherical symmetric photon ring.Depending on the observer's position,the photon ring can morph into an arc or a simple light spot.Additionally,as the torsion parameter increases,the ring radius also increases.Conversely,when the horizon radius increases,the ring radius decreases.Moreover,as the angular frequency increases,the ring radius becomes clearer.In addition,we examined the incident angle of the photon based on geometric optics;reportedly,this angle perfectly aligns with the incident angle of the photon ring obtained by wave optics and confirms the validity of studying Einstein rings using wave optics.
torsion black holeswave opticsholographic Einstein ringsresponse function
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