Matter accretion onto higher-dimensional black holes with Dirac-Born-Infeld global defects via well known fluids

Abstract

In this paper, we analyze the matter accretion onto higher dimensional black holes with Dirac-Born-Infeld (DBI) global defects by assuming general form of the recently proposed Hamiltonian and dynamical system for the fluid by considering the steady state flow. It is possible to obtain the analytic solution for isothermal equation of state and observe the heteroclinic flow in the presence of well-known fluids such as ultra-stiff, radiation, sub-relativistic and ultra-relativistic. A homoclinic-type accretion flow is observed for polytropic test fluid and the behavior for the adiabatic index 12 is discussed. In addition, we investigate the behavior of energy density, radial velocity and mass accretion rate onto higher dimensional black holes with DBI global defects in the presence of above mentioned fluids.