An evolution of the universe based on a modified time-redshift relation can avoid the introduction of a cosmological constant

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 $\delta t_0=\delta t_e{(1+z)}^n$ $\delta t_{0} = \delta t_{e} (1+z)^{n}$ . We find that this model fits the experimental data regarding 1048 supernovae, in a way which is competitive with the standard $\mathrm{\Lambda }\mathrm{CDM}$ $\Lambda \mathrm{CDM}$ 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.