Analyzing the Accretion Rate of Several Black Holes Through the Bondi Formalism
Year: 2026
Type: article
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 4D 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 a function of the dimensionless radial coordinate $r/M$. It is interesting to mention here that our results show consistency for each choice of black hole.
DOI: 10.1093/ptep/ptag094
Institutions: COMSATS University Islamabad, L. N. Gumilyov Eurasian National University, Tashkent State Technical University named after Islam Karimov, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, University of Tashkent for Applied Sciences, Khazar University, National University of Modern Languages
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $979
Funder: Ministerstwo Edukacji i Nauki
Award: G5181902781
OpenAlex ID: W7162066927
