Strong gravitational lensing by rotating Simpson-Visser black holes

We investigate strong field gravitational lensing by rotating Simpson-Visser black hole, which has an additional parameter ($0\leq l/2M \leq1$), apart from mass ($M$) and rotation ($a$). A metric correspond to (i) a Schwarzschild for $l/2M=a/2M=0$ $ M \neq 0 $, (ii) Kerr $l/2M=0$, $|a/2M|< 0.5$ (iii) regular hole 0.5$, $l/2M$ in the range $00.5$ $l/2M\neq 0$. find decrease deflection angle $\alpha_D$ also ratio of flux first image all other images r_{mag}$. On hand, angular position $\theta_{1}$ increases more slowly photon sphere radius $x_{m}$ decreases quickly, but separation $s$ rapidly, their behaviour is similar that hole. The formalism applied discuss astrophysical consequences supermassive holes can be distinguished via lensing. deviation observables $\Delta\theta_1$ $\Delta s$ Simpson Visser $0<l/2M <0.6$ ($a/2M=0.45$), Sgr A* M87, respectively, are $0.0422-0.11658~\mu$as $0.031709-0.08758~\mu$as while $|\Delta r_{mag}|$ $0.2037 - 0.95668$. It difficult distinguish two because departure $\mathcal{O}(\mu$as), unlikely get resolved current EHT observations. derive two-dimensional lens equation formula limit focusing on trajectories close equatorial plane.