Accretion of dark energy onto black hole in Bumblebee field

Abstract In this work, we have studied the mass accretion mechanism of a 4-dimensional black hole in the Bumblebee gravity framework. We work with three well-known red-shift parameterizations of dark energy EoS, namely, Linear, Chevallier–Polarski–Lindler (CPL), and Jassal–Bagla–Padmanabhan (JBP) parameterization. First, we discussed the fundamentals of Bumblebee gravity theory, specifically the basic field equations, and then went on to discuss the three dark energy models and their respective equations of state, energy density equations, and associated Hubble parameter equations. Next, the free parameters for the Bumblebee theory of gravity are constrained using the MCMC analysis. After determining the necessary parameters, we initiated the mass accretion procedure. We derived the mass equation for the models using the redshift function and then graphically depicted how the black hole’s mass changed with redshift. The accretion of all the dark energy candidates discussed above led us to the final conclusion that the mass of a 4-dimensional Bumblebee Black Hole will progressively rise in accordance with the universe’s evolution.