Matter accretion onto the quantum-gravitationally corrected Schwarzschild black hole

Abstract

This paper analyzes the dynamics of matter accretion in the vicinity of the quantum-gravitationally corrected Schwarzschild black hole. The objective of this study is to examine the steady-state, spherically symmetric accretion procedures for several test fluids in the vicinity of a black hole. To achieve this, we classify the fluid flow according to their corresponding equations of state. Furthermore, using the Hamiltonian dynamical approach, we can determine the sonic or critical points for various fluid types near the quantum-gravitationally corrected Schwarzschild black hole. We present solutions for various fluid types in closed form that are exhibited by phase diagram curves. Also, the mass accretion rate of a quantum-gravitationally corrected Schwarzschild black hole is determined. It is observed that the maximum mass accretion rate is reached for small values of the black hole parameter \(\gamma \). The graphical representation of the critical flow of the fluid and the mass accretion rates emphasizes the influence parameter \(\gamma \). Based on the findings of the present investigation, we might be able to recognize the physical mechanism of accretion onto the black holes considered.