The Lambert $W$ function: A newcomer in the Cosmology class?
Abstract
We propose a novel equation of state (EoS) which explains the evolutionary history of a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe. The uniqueness of this EoS lies in the fact that it incorporates the Lambert function in a special fashion. It is explicitly demonstrated that with observationally relevant values of the unknown parameters and , all the evolutionary phases of the Universe can be reproduced. Moreover, it also shows that the initial singularity is unavoidable and asserts that the late-time acceleration of the Universe would continue forever.
Keywords
Cite
@article{arxiv.1908.11712,
title = {The Lambert $W$ function: A newcomer in the Cosmology class?},
author = {Subhajit Saha and Kazuharu Bamba},
journal= {arXiv preprint arXiv:1908.11712},
year = {2020}
}
Comments
6 pages, 2 figures; v2: The quality of Fig. 1 has been improved, Acknowledgments updated, Several references corrected; To appear in Zeitschrift fur Naturforschung A; Author SS dedicates this paper to Professor Subenoy Chakraborty on the auspicious occasion of his 60th birthday