Abstract:
We propose a novel approach to parameterize the equation of state for Scalar Field Dark Energy (SFDE) and use it
to derive analytical solutions for various cosmological parameters. Using statistical MCMC with Bayesian techniques, we obtain
constraint values for the model parameters and analyze three observational datasets. We find a quintessence-like behavior for Dark
Energy (DE) with positive values for both model parameters α and β. Our analysis of the CC+BAO+SNe datasets reveals that the
transition redshift and the current value of the deceleration parameter are ztr 0.73+0.03 −0.01 and q0 −0.44+0.03 −0.02, respectively. We
also investigate the fluid flow of accretion SFDE around a Black Hole (BH) and analyze the nature of the BH’s dynamical mass
during accretion, taking into account Hawking radiation and BH evaporation. Our proposed model offers insight into the nature of
DE in the Universe and the behavior of BHs during accretion.
