A Great Model Comparison Against the Cosmological Constant

Recently, a covariant formulation of non-equilibrium phenomena in the context General Relativity was proposed order to explain from first principles observed accelerated expansion Universe, without need for cosmological constant, leading GREA theory. Here, we confront theory against latest data, including type Ia supernovae, baryon acoustic oscillations, cosmic microwave background (CMB) radiation, Hubble rate data chronometers and recent $H_0$ measurements. We perform Markov Chain Monte Carlo analyses Bayesian model comparison, by estimating evidence via thermodynamic integration, find that when all aforementioned are included, but no prior on $H_0$, difference log-evidence is $\sim -9$ favor GREA, thus resulting overwhelming support latter over constant cold dark matter ($\Lambda$CDM). When also include priors either Cepheids or Tip Red Giant Branch measurements, then due tensions with CMB found be statistically equivalent $\Lambda$CDM.