Abstract
Inspired by the recent literature, we study the Einstein–de Sitter cosmological model coupled with a generalization of the relation between the redshift and time dilation of the kind \(\delta t_{0} = \delta t_{e} (1+z)^{n}\). We find that this model fits the experimental data regarding 1048 supernovae, in a way which is competitive with the standard \(\Lambda \mathrm{CDM}\) model and without the need of introducing a non-zero cosmological constant. Since the existence of dark energy, as a main ingredient of the composition of the cosmos, is still under debate, we propose our formalism as an example of an alternative description of the cosmological scenario.
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We have used the database called Pantheon sample of 1048 SNIa by Scolnic et al. 2018 available at https://archive.stsci.edu/prepds/ps1cosmo/scolnic_datatable.html.
References
Anderson, L., Aubourg, E., Bailey, S., et al.: Mon. Not. R. Astron. Soc. 441, 24 (2014)
Bennett, C.L., Larson, D., Weiland, J.L., et al.: Astrophys. J. Suppl. Ser. 208, 20 (2013)
Einstein, A.: Sitzungsber. Preuss. Akad. Wiss. 142 (1917)
Einstein, A., De Sitter, W.: Proc. Natl. Acad. Sci. 18(3), 213–214 (1932)
Eisenstein, D.J., Zehavi, I., Hogg, D.W., et al.: Astrophys. J. 633, 560 (2005)
Lewis, G.F., Brewer, B.J.: Nat. Astron. 7, 1265 (2023)
Perlmutter, S., Aldering, G., Goldhaber, G., et al.: Astrophys. J. 517, 565 (1999)
Planck Collaboration XIII: Astron. Astrophys. 594, A13 (2016)
Riess, A.G., Filippenko, A.V., Challis, P., et al.: Astron. J. 116, 1009 (1998)
Scolnic, D.M., et al.: Astrophys. J. 859, 101 (2018)
Suzuki, N., Rubin, D., Lidman, C., et al.: Astrophys. J. 746, 85 (2012)
Tian, S.: Astrophys. J. 846, 90 (2017)
Weinberg, S.: Cambridge University Press, Cambridge (2008). ISBN 978-0-19-852682-7
Acknowledgements
In order to determine the cosmological parameters we have used the database called “Pantheon sample” of 1048 SN Ia and we wish to thank Scolnic and all the collaboration of researchers that has collected the data. This work was partially supported by research funds of the University of Sannio. Finally, the authors would like to thank the anonymous referee for improving the original version of this paper.
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Benedetto, E., D’Errico, L. & Feoli, A. An evolution of the universe based on a modified time-redshift relation can avoid the introduction of a cosmological constant. Astrophys Space Sci 369, 37 (2024). https://doi.org/10.1007/s10509-024-04301-x
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DOI: https://doi.org/10.1007/s10509-024-04301-x