Cosmological constraints on $\Lambda (\alpha )$CDM models with time-varying fine structure constant

Abstract

We study the $\Lambda (\alpha )$CDM models with $\Lambda (\alpha )$ being a function of the time-varying fine structure constant $\alpha$. We give a close look at the constraints on two specific $\Lambda (\alpha )$CDM models with one and two model parameters, respectively, based on the cosmological observational measurements along with 313 data points for the time-varying $\alpha$. We find that the model parameters are constrained to be around $10^{-4}$, which are similar to the results discussed previously but more accurately.

arXiv comment16 pages, 4 figures, published in Annals of Physics 397 (2018) 400-409

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