학술논문

The Lambert W Function: A Newcomer in the Cosmology Class?
Document Type
research-article
Source
Zeitschrift für Naturforschung A. 75(1):23-27
Subject
Cosmic History
Equation of State (EoS)
Friedmann–Lemaitre–Robertson–Walker Universe
Lambert W Function
98.80.−k
Gravitation & Cosmology
Language
English
ISSN
1865-7109
0932-0784
Abstract
We propose a novel equation of state (EoS) which explains the evolutionary history of a flat Friedmann–Lemaitre–Robertson–Walker universe. The uniqueness of this EoS lies in the fact that it incorporates the Lambert W function in a special fashion. It is explicitly demonstrated that with observationally relevant values of the unknown parameters ϑ1 and ϑ2, 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.