Cosmological constraints on Λ(t)CDM models

Problems with the concordance cosmology Λ CDM as the cosmological constant problem, coincidence problems and Hubble tension has led to many proposed alternatives, as the Λ ( t ) CDM, where the now called Λ cosmological term is allowed to vary due to an interaction with pressureless matter. Here, we analyze one class of these proposals, namely, Λ = α ′ a - 2 + β H 2 + λ ∗ , based on dimensional arguments. Using SNe Ia, cosmic chronometers data plus constraints on H 0 from SH0ES and Planck satellite, we constrain the free parameters of this class of models. By using the Planck prior over H 0 , we conclude that the λ ∗ term can not be discarded by this analysis, thereby disfavouring models only with the time-variable terms. The SH0ES prior over H 0 has an weak evidence in this direction. The subclasses of models with α ′ = 0 and with β = 0 can not be discarded by this analysis. Finally, by using distance priors from CMB, the Λ time-dependence was quite restricted.