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Constraints on Bianchi type-I spacetime extension of the standard $Łambda$CDM model

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(2019)cite arxiv:1905.06949Comment: 13 pages, 3 figures, 5 tables.

Abstract

We consider the simplest anisotropic generalization, as a correction, to the standard $Łambda$CDM model, by replacing the spatially flat Robertson-Walker metric by the Bianchi type-I metric, which brings in a new term $Ømega_\sigma 0a^-6$ (mimicking the stiff fluid) in the average expansion rate $H(a)$ of the Universe. From Hubble and Pantheon data, relevant to the late Universe ($z2.4$), we obtain the constraint $Ømega_\sigma0łesssim10^-3$, in line with the model independent constraints. When the baryonic acoustic oscillations and cosmic microwave background (CMB) data are included, the constraint improves by 12 orders of magnitude, i.e., $Ømega_\sigma0łesssim10^-15$. We find that this constraint could alter neither the matter-radiation equality redshift nor the peak of the matter perturbations. Demanding that the expansion anisotropy has no significant effect on the standard Big Bang Nucleosynthesis (BBN), we find the constraint $Ømega_\sigma0łesssim10^-23$. We show explicitly that the constraint from BBN renders the expansion anisotropy irrelevant to make a detectable change in the CMB quadrupole temperature, whereas the constraint from the cosmological data provides the temperature change up to $\sim11\;K$.

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