Growth of Perturbations using Lambert$W$ Equation of State
Abstract
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 function. In this paper, we study the effect on the growth of perturbations for the Lambert 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 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 function. We then compare the growth rates of Lambert model with that for a standard CDM model as well as the CPL model. Our results indicate that the presence of Lambert dynamical dark energy sector changes the growth rate and affects the matter fluctuations in the universe to a great extent.
Keywords
Cite
@article{arxiv.2011.12058,
title = {Growth of Perturbations using Lambert$W$ Equation of State},
author = {Manisha Banerjee and Sudipta Das and Abdulla Al Mamon and Subhajit Saha and Kazuharu Bamba},
journal= {arXiv preprint arXiv:2011.12058},
year = {2021}
}
Comments
6 pages, 8 figures