Matter creation cosmology with generalized Chaplygin gas

In this work, we discuss the dynamics of a spatially homogeneous and isotropic flat Friedmann-Lemaître-Robertson-Walker (FLRW) model of the Universe powered by the gravitationally induced ‘adiabatic’ matter creation with generalized Chaplygin gas (GCG) equation of state. In recent years, the CGC has been proposed successfully to unify the dark matter and dark energy by using an exotic equation of state $p=-A/{\rho }^{\alpha }$ $p=-A/\rho ^{\alpha }$ . Considering adiabatic matter creation cosmology, as developed by Prigogine et al, we examine the effect of matter creation in describing the unification with GCG by assuming the natural phenomenological matter creation rate $\mathrm{\Gamma }=3\beta H$ $\Gamma =3\beta H$ , where $\beta$ $\beta $ is a constant and $H$ $H$ is the Hubble parameter. We constrain the proposed model using a joint observational dataset of Type Ia supernovae Pantheon, $H(z)$ $H(z)$ and BAO with Markov-Chain Monte-Carlo (MCMC) method. In addition, we discuss the selection criterion (AIC and BIC) and stability criteria to analyze the dynamics and differences with the standard $\mathrm{\Lambda }$ $\Lambda $ CDM model.