Matter accretion onto a brane-world black hole via Hamiltonian approach

The falling of matter onto a black hole (BH) is the most fascinating astrophysical wonder. Our presentwork is to addressed the matter accretion onto darkmatter inspired brane-world BH. By adopting the Hamiltonian approach, we examine the accretion process onto brane-world BH in view of cosmological parameter and dark matter parameter alpha and beta respectively. We formulated general solutions of accretion using the isothermal equation of state according to the models of BH, further the steady state and spherically symmetric matter flow has been considered here. Particularly, in this paper we have analyzed the accretion of distinctive test fluids when they are falling onto BH. The most intriguing part of this paper is to talk about the impacts parameters of BH alpha and beta on critical matter flow as well as the mass accretion rate and the detail of the results have been presented graphically. Finally, it is demonstrated that the parameters alpha and beta increase the accretion rate.