Strong gravitational lensing of regular black holes in asymptotically safe gravity

Abstract: In this paper, we investigate the strong gravitational lensing effects around a spherically symmetric regular black hole, whose metric is derived from a non-singular collapsing dust ball model in asymptotically safe gravity. In this regular black hole spacetime, we obtain the analytical expression of the light deflection angle via calculating the strong field limit coefficients, and then evaluate the lensing observables in strong field regime by supposing the regular black holes as the candidate of $M87^*$ and $SgrA*$ supermassive black holes, respectively. In addition, we also in detail analyze the effects of the scale parameter $\xi$ on the strong deflection angle and the lensing observables. We expect our results will be useful in the future to distinguish these non-singular black holes from their classical singular counterparts.