Matter accretion and greybody factor of charged bumblebee gravity black hole

This research is focused on studying the accretion dynamics and the emission of scalar fields by charged black holes within the framework of bumblebee gravity, where the bumblebee parameter controls spontaneous Lorentz symmetry breaking. The structure of the accreting fluids is analyzed using the Hamiltonian dynamical approach for different cases: radiation, sub-relativistic, and polytropic flows. It is shown that the bumblebee parameter and the electric charge have considerable impacts on the fluid flow, velocity, and accretion of mass. It is shown that the increase in the bumblebee parameter causes Lorentz-violating geometric deformation that reduces the effective gravitational potential, making accretion more difficult, and causes the critical/sonic radii to shift radially outward, while the charge further reduces the potential, making accretion more difficult. We further studied the scalar perturbations in the effective potential to discover both bumblebee parameter as well as charge and widen the potential barrier, although to lower degrees of wave transmission. The characteristics of the greybody confirmed the positive correlation of bumblebee parameter and charge with the suppression of the Hawking radiation. In comparison with the Reissner–Nordström black hole, the charged bumblebee solution has a richer structure, with distinct classical and quantum modifications due to the effects of Lorentz violation. Thus far, this research demonstrates the astrophysical significance of corrections to Lorentz symmetries and how such modifications to General Relativity might be exhibited in the accretion behavior and Hawking radiation spectra.