Accretion around a hairy black hole in the framework of gravitational decoupling theory

Abstract

We investigate astrophysical accretion onto a static and spherically symmetric hairy black hole within the framework of gravitational decoupling. To achieve this goal, we examine the accretion procedure for several types of perfect fluids, including polytropic fluid and ultra-stiff, ultra-relativistic, radiation, and sub-relativistic isothermal fluids. Moreover, we determine the critical or sonic points for numerous fluid forms that are accreting onto the black hole by utilizing the Hamiltonian dynamical approach. Additionally, the closed form of the solutions are presented for a number of fluids, which are represented in phase diagram curves. We estimate the mass accretion rate of a static and spherically symmetric hairy black hole within the framework of gravitational decoupling. These findings are helpful in constraining the parameters of black holes while physical matter accretes onto the black holes.