Growth of perturbations using Lambert W equation of state

Recently, a novel equation of state (EoS) parameter for dark energy has been introduced which deals with a special mathematical function, known as the Lambert W function. In this paper, we study the effect on the growth of perturbations for the Lambert W dark energy model. We perform the analysis for two different approaches. In the first case, we consider the universe to be filled with two different fluid components, namely, the baryonic matter component and the Lambert W dark energy component, while in the second case, we consider that there is a single fluid component in the universe whose equation of state parameter is described by the Lambert W function. We then compare the growth rates of Lambert W model with that for a standard Lambda CDM model as well as the CPL model. Our results indicate that the presence of Lambert W dynamical dark energy sector changes the growth rate and affects the matter fluctuations in the universe to a great extent.

Automated summary

The study investigates the impact of using the Lambert W function to handle the dark energy state parameter on the growth of perturbations, analyzing two different approaches. Results indicate that the Lambert W model alters the growth rate and significantly impacts matter fluctuations in the universe.