Variable Chaplygin Gas: Constraints from Supernovae, GRB and Gravitational Wave Merger Events

We investigate the cosmological constraints on the Variable Chaplygin gas model from the latest observational data: SCP Union 2.1 compilation dataset of Type Ia supernovae (SNe Ia), Pantheon sample of SNe Ia, Platinum Sample of Gamma Ray Bursts (GRB) and GWTC-3 of gravitational wave merger events. Variable Chaplygin gas is a model of interacting dark matter and dark energy, which interpolates from a dust-dominated era to a quintessence-dominated era. The Variable Chaplygin gas model is shown to be compatible with Type Ia Supernovae and gravitational merger data. We have obtained tighter constraints on cosmological parameters $B_s$ and $n$, using the Pantheon sample. By using the Markov chain Monte Carlo (MCMC) method on the Pantheon sample, we obtain $B_s$=0.108 $\pm$ 0.034, n=1.157 $\pm$ 0.513 and $H_0$=70.020 $\pm$ 0.407, for GRBs, we obtain $B_s$=0.20 $\pm$ 0.11, n=1.45 $\pm$ 1.40 and $H_0$=70.41 $\pm$ 0.67} and on GWTC-3, we obtain $B_s$=0.130 $\pm$ 0.076, n=0.897 $\pm$ 1.182 and $H_0$=69.838 $\pm$ 3.007. The combined constraints from the above data sets are $B_s$=0.11 $\pm$ 0.03, n=1.14 $\pm$ 0.36 and $H_0$=70.34 $\pm$ 0.61