Abstract
The accretion of test fluids flowing onto a black hole is investigated. Particularly, by adopting a dynamical Hamiltonian approach, we are capable to find the critical points for various cases of black hole in conformal gravity. In these cases, we have analyzed the general solutions of accretion employing the isothermal equations of state. The steady state and spherically symmetric accretion of different test fluids onto the conformal gravity black hole has been considered. Further, we have classified these flows in the context of equations of state and the cases of conformal gravity black hole. The new behavior of polytropic fluid accretion is also discussed in all three cases of black hole. Black hole mass accretion rate is the most important part of this research in which we have investigated that the Schwarzschild black hole produce a typical signature than the conformal gravity black hole and Schwarzschild–de Sitter black hole. The critical fluid flow and the mass accretion rate have been presented graphically by the impact parameters beta , gamma , k and these parameters have great significance. Additionally, the maximum mass rate of accretion fall near the universal and Killing horizons and minimum rate of accretion occurs in between these regions. Finally, the results are compared with the different cases of black hole available in the literature.
Highlights
Latter on, conformal (Weyl) gravity characterized by a pure Weyl squared action has taken a large amount of curiosity as an alternate theory to Einstein gravity
We have investigated the spherically symmetric accretion around the conformal gravity black hole (BH), with four kinds of fluid as ultra-stiff fluid, ultra-relativistic fluid, radiationfluid and sub-relativistic fluid by using the Hamiltonian approach
The critical radius in Schwarzschild BH is larger than the conformal gravity BH and Schwarzschild–de Sitter BH
Summary
Conformal (Weyl) gravity characterized by a pure Weyl squared action has taken a large amount of curiosity as an alternate theory to Einstein gravity. The general relativistic model of spherically symmetrically accretion onto Schwarzschild BH was investigated by Michel [48] that has been further extended by many authors [49,50,51,52,53,54] It has been observed [55], that the theory of GR is facing a large number of challenges that has led to the introduction of the dark matter and dark energy with ordinary matter [56]. Many authors [64,65,66,67] have analyzed the radial flows of perfect fluids and dark energy onto some BHs in modified theories of gravity.
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