https://doi.org/10.1140/epjp/s13360-025-06110-9
Regular Article
Matter accretion onto the quantum-gravitationally corrected Schwarzschild black hole
1
Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
2
School of Mathematical Sciences, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China
3
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
4
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia
5
Department of Mathematics, College of Science, Jazan University, P.O. Box 114, 45142, Jazan, Saudi Arabia
Received:
31
January
2025
Accepted:
9
February
2025
Published online:
10
March
2025
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 
. The graphical representation of the critical flow of the fluid and the mass accretion rates emphasizes the influence parameter . Based on the findings of the present investigation, we might be able to recognize the physical mechanism of accretion onto the black holes considered.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
