Analyzing the Accretion Rate of Several Black Holes Through the Bondi Formalism

Abstract In this work, we investigate the accretion process for several spherically symmetric black hole geometries within the framework of Bondi accretion by employing specific fluid models. Firstly, we consider a dark fluid configuration in which the ratio of pressure to energy density is assumed to be constant. In addition, we analyze an exponential dark matter distribution to characterize the ambient environment during the accretion process. The black hole spacetimes considered in this study include the global monopole solution, the ModMax black hole, and the four-dimensional Einstein-Gauss-Bonnet gravity model. For the dark fluid model, we derive the corresponding expressions for the radial velocity, density profile, and mass accretion rate. In the case of the exponential density distribution, we obtain the associated pressure, mass accretion rate and luminosity. The behavior of these physical quantities is illustrated through a detailed graphical analysis as functions of the dimensionless radial coordinate r/M. It is interesting to mention here that our results show consistency for each choice of black hole.