Spherical accretion flow onto general parameterized spherically symmetric black hole spacetimes *

Abstract The transonic phenomenon of black hole accretion and the existence photon sphere characterize strong gravitational fields near a horizon. Here, we study spherical flow onto general parametrized spherically symmetric spacetimes. We analyze process for various perfect fluids, such as isothermal fluids ultra-stiff, ultra-relativistic, sub-relativistic types, polytropic fluid. influences additional parameters, beyond Schwarzschild in framework parameterized holes, on behavior above-mentioned test are studied detail. In addition, by studying ideal gas, further discuss correspondence between sonic radius accreting gas holes. Possible extensions our analysis also discussed.