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

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 $△$AIC, $△$BIC and $△$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.

20 pages, 17 figures, Accepted in Int. J. Mod. Phys. A

References in corpus (21)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmology and the Fate of Dilatation Symmetry
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Cosmological Evolution of a Quintom Model of Dark Energy
• Membranes at Quantum Criticality
• Two new diagnostics of dark energy
• Modified gravity models of dark energy
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Constraints on modified Chaplygin gas from recent observations and a comparison of its status with other models
• DBI-essence
• Variable Modified Chaplygin Gas and Accelerating Universe
• Comparison of dark energy models after Planck 2015
• Generalised DBI-Quintessence
• Late-time acceleration with a scalar field source: Observational constraints and statefinder diagnostics
• A Jacobian elliptic single-field inflation
• Study of Some Parameters of Modified Chaplygin Gas in Galileon Gravity Theory from Observational Perspective

Cited by in corpus (2)

• Thermodynamics of Modified Chaplygin-Jacobi Gas and Modified Chaplygin-Abel Gas: Stability Analysis and Observational Constraints
• Multiple fluid theory of cosmic evolution and its thermodynamic analysis