Roles of Modified Chaplygin-Jacobi and Chaplygin-Abel Gases in FRW Universe

TL;DR

This paper explores modified Chaplygin gases modeled with Jacobi elliptic and Abel functions within a flat FRW universe, constraining parameters with observational data and analyzing cosmological dynamics and stability.

Contribution

It introduces novel modified Chaplygin-Jacobi and Chaplygin-Abel gases using elliptic and Abel functions, and constrains their parameters with recent observational data.

Findings

Model parameters fitted with OHD+CMB+BAO+SNIa data

Cosmological parameters analyzed for best-fit models

Models shown to be classically stable

Abstract

We have considered flat Friedmann-Robertson-Walker (FRW) model of the universe and reviewed the modified Chaplygin gas as the fluid source. Associated with the scalar field model, we have determined the Hubble parameter as a generating function in terms of the scalar field. Instead of hyperbolic function, we have taken Jacobi elliptic function and Abel function in the generating function and obtained modified Chaplygin-Jacobi gas (MCJG) and modified Chaplygin-Abel gas (MCAG) equation of states, respectively. Next, we have assumed that the universe filled in dark matter, radiation, and dark energy. The sources of dark energy candidates are assumed as MCJG and MCAG. We have constrained the model parameters by recent observational data analysis. Using $\chi^{2}$ minimum test (maximum likelihood estimation), we have determined the best fit values of the model parameters by OHD+CMB+BAO+SNIa joint data analysis. To examine the viability of the MCJG and MCAG models, we have determined the values of the deviations of information criteria like $\triangle$AIC, $\triangle$BIC and $\triangle$DIC. The evolutions of cosmological and cosmographical parameters (like equation of state, deceleration, jerk, snap, lerk, statefinder, Om diagnostic) have been studied for our best fit values of model parameters. To check the classical stability of the models, we have examined the values of square speed of sound $v_{s}^{2}$ in the interval $(0,1)$ for expansion of the universe.