Decaying vacuum energy, matter creation and cosmic acceleration (2504.09523v1)

Abstract: We discuss an interacting decaying vacuum energy and dark matter empowered by gravitationally induced matter creation model, and its impact on structure formation by analysing the growth rate perturbations. Our work is motivated by the possibility that the decaying vacuum is due to quantum field theory and dark matter originates from gravitationally induced matter creation. We delve deeper into our investigation and explore both theoretical and statistical analysis of the cosmological model to test its ability to describe the evolution of the Universe. To achieve this, we use three distinct combinations of datasets from CC, Pantheon SNIa sample, BAO, CMB distance priors and $f(z)\sigma_8(z)$ datapoints to constrain the model parameters. Our statistical analysis employs Markov Chain Monte Carlo (MCMC) methods. The deceleration parameter shows that the model transitions from a decelerated phase to an accelerated phase of expansion. The current Hubble parameter values are estimated to be $H_0=67.517 \pm 0.869$ km/s/Mpc, $H_0=67.534\pm 0.874$ km/s/Mpc, and $H_0=67.533 \pm 0.884$ km/s/Mpc using DS1, DS2 and DS3 datasets, respectively. These values of $H_0$ are very close to those derived from the Planck data. The effective equation of state parameter indicates an accelerating phase, with density parameter for vacuum energy exhibiting expected values. We analyse the stability characteristics through the selection information criteria. We also perform thermodynamic analysis by studying the evolution of entropy in the Universe for the model and find it to be in agreement with the generalized second law of thermodynamics. These findings support that the proposed model effectively describes the evolutionary features of the Universe at both theoretical and observational levels.