Light deflection angle by superentropic black holes

Abstract

Motivated by recent works on light deflection and shadow behaviors on AdS geometries [S. Haroon, M. Jamil, K. Jusufi, K. Lin and R. B. Mann, Phys. Rev. D 99 (2019) 044015, arXiv:1810.04103; A. Belhaj, H. Belmahi and M. Benali, Phys. Lett. B 821 (2021) 136619, arXiv:2110.06771], we investigate the deflection angle of light rays by superentropic black holes. Taking appropriate approximations, we first obtain the involved expression. For large values of the impact parameter, we get a specific value being zero for ordinary black holes without AdS backgrounds. Then, we examine and analyze such an optical quantity by providing graphical discussions in terms of a bounded region of the moduli space required by superentropic black hole conditions. Concretely, we study the deflection angle aspects by varying the black hole mass being fixed in the previous findings.