1 Erratum to: Eur. Phys. J. C (2020) 80:240 https://doi.org/10.1140/epjc/s10052-020-7787-z

The original version of this article contained some mistakes which were not corrected during the proof process, i.a. stylistic and spelling errors.

Furthermore, the following mistakes were not corrected:

Incorrect: ...  gravity together with the so-called tilted observer on the dynamics of LTB spacetime embedded in an electromagnetic field.

Correct: ......  gravity together with the so-called tilted observer on the dynamics of LTB spacetime embedded in an electromagnetic field. The Proca theory in the FLRW cosmology has also been studied in Refs. [23–26].

The following references were not included:

[23].:

A. De Felice, L. Heisenberg, R. Kase, S. Mukohyama, S. Tsujikawa, Y-L. Zhang, Cosmology in generalized Proca theories. JCAP 1606 (2016) 48. arXiv:1603.05806.

[24].:

A. De Felice, L. Heisenberg, R. Kase, S. Tsujikawa, Y-L. Zhang, G-B. Zhao, Screening fifth forces in generalized Proca theories. Phys. Rev. D 93 (2016) 104016. arXiv:1602.00371.

[25].:

A. De Felice, L. Heisenberg, R. Kase, S. Mukohyama, S. Tsujikawa, Y-L. Zhang, Effective gravitational couplings for cosmological perturbations in generalized Proca theories. Phys. Rev. D 94 (2016) 044024. arXiv:1605.05066.

[26].:

R. Emami, S. Mukohyama, R. Namba, Y-L. Zhang, Stable solutions of inflation driven by vector fields. JCAP 1703 (2017) 58. arXiv:1612.09581.

The original article has been corrected.

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