Shadows of rotating quintessential black holes in Einstein–Gauss–Bonnet gravity with a cloud of strings

Using the Newman–Janis algorithm, we study certain optical behaviors of rotating quintessential black holes in Einstein Gauss–Bonnet gravity models with a cloud of strings. Concretely, we investigate the shadow behaviors in terms of one dimensional real curves. By elaborating the associated null geodesic equations of motion, we illustrate the shadow geometries in terms of an appropriate moduli space involving external dark field contributions. Among others, we find that the string cloud parameter serves as a geometric quantity controlling the shadow size. We approach graphically the corresponding astronomical observables. Then, we compute and analyze the energy emission rate by varying the involved parameters. Finally, we discuss a possible connection with observations from Event Horizon Telescope by providing certain constraints on the involved black hole parameters in the light of the M87∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {M}87^*$$\end{document} image.