Linearly coasting cosmology is comfortably concordant with a host of cosmological observations. It is surprisingly an excellent fit to SNe Ia observations and constraints arising from age of old quasars. In this article we highlight the overall viability of an open linear coasting cosmological model. The model is consistent with the latest SNe Ia "gold" sample and accommodates a very old high-redshift quasar, which the standard cold-dark model fails to do.
We constrain the parameters of the variable Chaplygin gas model, using the location of peaks of the CMBR spectrum and the SNe Ia "gold" data set. The equation of state of the model is P = -A(a)/ρ, where A(a) = A0a-nis a positive function of the cosmological scale factor a, A0and n> being constants. The variable Chaplygin gas interpolates from the dust-dominated era to the quintessence dominated era. The model is found to be compatible with current type Ia supernovae data and the location of the first peak if the values of Ωmand n lie in the interval [0.017, 0.117] and [-1.3, 2.6], respectively.
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, and GWTC-3 of gravitational wave merger events. The 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 Bs and n, using the Pantheon sample. By using the Markov chain Monte Carlo (MCMC) method on the Pantheon sample, we obtain Bs=0.108 ± 0.034, n=1.157 ± 0.513 and H0=70.020 ± 0.407 and on GWTC-3, we obtain Bs=0.130 ± 0.076, n=0.897 ± 1.182 and H0=69.838 ± 3.007.
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