Matter accretion around Euler-Heisenberg black hole surrounded by perfect fluid dark matter

The analysis of accretion processes onto a static and spherically symmetric Euler-Heisenberg black hole surrounded by perfect fluid dark matter reveals significant understandings of the dynamics associated with different fluid distribution. By using the Hamiltonian dynamical framework, we identified critical or sonic points across various categories of perfect fluids. This comprises polytropic and isothermal fluids that are classified as sub-relativistic, radiation, ultra-stiff, and ultra-relativistic. We have determined the mass accretion rate of a static spherically symmetric Euler-Heisenberg black hole surrounded by perfect fluid dark matter. The results discussed in this study are helpful to constraint the parameters associated with the considered black hole as physical matter accumulates around the black hole.