Matter accretion onto Einstein-power-Maxwell black hole

One of the most interesting astrophysical phenomenon is the astrophysical flow near a 3D black hole. In this paper, we have adopted the Hamiltonian approach to investigate the matter accretion onto Einstein-power-Maxwell black hole in the presence of cosmological parameter l and the charge parameter Q. We analyze the accretion process for the case of isothermal flow when different test fluids are falling onto this black hole. Further, we calculate the general solution of equation of motion for the axial symmetric static black hole. The most interesting aspect of this paper is to discuss the effects parameters of black hole on the mass accretion rate, which we discussed by the graphical analysis. Moreover, it has been shown that the parameters Λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Lambda $$\end{document} and Q play a dominant role for the maximum accretion rate.