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 $W$ function in a special fashion. It is explicitly demonstrated that with observationally relevant values of the unknown parameters ${\vartheta }_1$ and ${\vartheta }_2$, 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.

arXiv comment6 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

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Cited by in corpus (3)

• Testing Lambert$W$ equation of state with observational Hubble parameter data
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