## Erratum to: Eur. Phys. J. C (2020) 80:158 https://doi.org/10.1140/epjc/s10052-020-7713-4

This erratum concerns the corrections of Equation (41), that should read:

and Equation (44), that should read:

These leads to corrections to subsequent Equations (45), (50), (51) and (53). The corrected formulas allows to evaluate the parameters as

which return a complete explanation of the dark matter \(\Omega _{FM0}\cong 0.272\cong \Omega _{DM0}\) and the dark energy \(\Omega _{F\Lambda 0}\cong 0.685\cong \Omega _{\Lambda 0}\).

The Equation (69) becomes

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**Open Access** This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Re, F. Erratum to: Distortions of Robertson–Walker metric in perturbative cosmology and interpretation as dark matter and cosmological constant.
*Eur. Phys. J. C* **81, **135 (2021). https://doi.org/10.1140/epjc/s10052-021-08935-x

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