Matter accretion onto a brane-world black hole via Hamiltonian approach. (English) Zbl 1434.83047
Summary: The falling of matter onto a black hole (BH) is the most fascinating astrophysical wonder. Our present work is to addressed the matter accretion onto dark matter 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.
MSC:
| 83C57 | Black holes |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83C50 | Electromagnetic fields in general relativity and gravitational theory |
| 85A05 | Galactic and stellar dynamics |
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