Accretion mechanism for regular black holes with asymptotically Minkowski Cores and improved Schwarzschild black holes

In this paper, we investigate the fascinating implications of the accretion process for two different kinds of black holes. A detailed analysis of the moving fluid in this accretion process is provided. The radial velocity $u\left(r\right)$, the energy density $\rho \left(r\right)$, speed of sound ${a^2}_s$ and the mass accretion rate $\dot{M}$ of the regular black holes and improved Schwarzschild black hole are explored. Interestingly, we consider the most generic black hole space–times with isotropic fluid for this accretion process. The required and necessary physical behaviors around the black holes, such as the radial velocity, the energy density of the moving fluid within the scope of dust, stiff fluid and quintessence, are achieved. Our findings suggest that critical parameters like $l$ in regular black holes, $\Gamma$ in improved Schwarzschild black holes and the state parameter $k$ are responsible for the accretion mechanism.