Exploring the shadow of a rotating charged ModMax black hole

Abstract

The research presented in this paper discusses the impact that the parameters of charge (Q) and screening factor (gamma) have on properties of the horizon and silhouette of rotating charged ModMax black holes which were reviewed in [Eur. Phys. J. C (2022) 82:1155] recently, building upon previous findings in the field. Furthermore, the study explores the behavior of null geodesics, which can help us better understand the apparent shape of the black hole's silhouette, as well as the distortion parameter and approximate radii of the silhouette that are influenced by the aforementioned parameters, and there are some values of parameter Q which corresponds to data from the Event Horizon Telescope (EHT). Notably, we explore the distortion parameter and approximate radii of the silhouette, revealing that while an increase in gamma leads to a growth in silhouette radius (R s ), it simultaneously reduces the distortion rate (delta s ). Conversely, heightened Q charge results in a reduction of R s accompanied by an increase in delta s . Lastly, the paper analyzes the effects of the black hole's parameters on the effective potential and energy emission: the peak value of the energy emission rate experiences a decrease as the screening factor (gamma) increases, while it increases with higher values of the charge parameter (Q).