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The Lambert $W$ function: A newcomer in the Cosmology class?

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arxiv 1908.11712 v2 pith:HFUV7L6M submitted 2019-08-29 gr-qc

Subhajit Saha , Kazuharu Bamba This is my paper · ORCID
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keywords universeevolutionaryfunctionlambertmathrmvarthetaaccelerationasserts
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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 $\vartheta_\mathrm{1}$ and $\vartheta_\mathrm{2}$, 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.

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Cited by 1 Pith paper

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  1. Analytic Integration of the Lambert W Cosmic Fluid Model H(z) Formula

    math-ph 2026-08 conditional novelty 4.0 of 10

    An exact analytic formula for ln(H(z)/H0) in the Lambert W cosmic fluid model, obtained by evaluating log-integral antiderivatives of the Lambert W function.

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