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Low redshift constraints on scale-covariant models

C. J. A. P. Martins, J. S. J. S. Oliveira, D. A. R. Pinheiro

Abstract
The search for a physical model which explains the observed recent acceleration of the universe is a compelling task of modern fundamental cosmology. Recently Fernandes et al. presented low redshift observational constraints on a scale invariant model by Maeder. Phenomenologically this can be interpreted as a bimetric theory with a time-dependent cosmological constant. It was shown that a matter density Ωm ∼ 0.3 is a poor fit to the data, and the best-fit model would require a fluid with a much smaller density and a significantly positive equation of state parameter. This model is a particular case of an earlier and broader class of models by Canuto et al., which we study here. Specifically, we consider it in two distinct scenarios: as a genuine alternative to ΛCDM (i.e., without any cosmological constant) and as a parametric extension thereof (where both a cosmological constant and the new mechanism can coexist, and the relative contributions of both are determined by the data). We find that the first scenario can in principle fit the low-redshift data (but a good fit would require values of model parameters, such as the matter equation of state, in conflict with other data), while in the second one the deviation from ΛCDM is constrained to be small.

Keywords
Cosmology Dark energy Modified gravity Cosmological observations Statistical analysis

Physics of the Dark Universe
Volume 35
2022 March

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia