Cosmological constraints on $\hat{I}›(\hat{I}\pm )$CDM models with time-varying fine structure constant

Abstract

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

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