https://doi.org/10.1140/epjc/s10052-024-13496-w
Regular Article - Theoretical Physics
Egg-shaped sections of fluid structures around black holes
Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, 746 01, Opava, Czech Republic
Received:
26
May
2024
Accepted:
12
October
2024
Published online:
27
October
2024
Astrophysical fluids subjected to the strong gravity of black holes can form rotating toroidal-like structures known as thick accretion discs. In order to facilitate the study of such structures, we introduce approximate empirical formulae for a relatively simple analytical description of their poloidal cross-sections that are usually described only numerically. Our comparisons of the approximate and exact descriptions of the cross-sections of the structures rotating around Schwarzschild and Kerr central black holes, together with the determination of the associated total masses of these structure, indicate a high degree of accuracy for these introduced formulae.
© The Author(s) 2024
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