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.

arXiv comment20 pages, 17 figures, Accepted in Int. J. Mod. Phys. A

References in corpus (81)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmological Constant and Dark Energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Cosmology and the Fate of Dilatation Symmetry
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• An alternative to quintessence
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Baryonic Features in the Matter Transfer Function
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Essentials of k-essence
• 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
• Statefinder -- a new geometrical diagnostic of dark energy
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Dark Energy Constraints from the Cosmic Age and Supernova
• Tachyon Matter
• Information criteria for astrophysical model selection
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• Small Scale Cosmological Perturbations: An Analytic Approach
• Gravity with a dynamical preferred frame
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Cosmological Evolution of a Quintom Model of Dark Energy
• Membranes at Quantum Criticality
• Two new diagnostics of dark energy
• Quintessence: A Review
• Can the Chaplygin gas be a plausible model for dark energy?
• The Physics of Cosmic Acceleration
• Quintessence as a run-away dilaton
• Role of Modified Chaplygin Gas in Accelerated Universe
• Metastable Gravitons and Infinite Volume Extra Dimensions
• Hessence: A New View of Quintom Dark Energy
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Modified gravity models of dark energy
• WMAP and the Generalized Chaplygin Gas
• Generalized Chaplygin gas and CMBR constraints
• WMAP Constraints on the Generalized Chaplygin Gas Model
• Constraints on the generalized Chaplygin gas from supernovae observations
• Precision Cosmology? Not Just Yet
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• The Cardassian expansion revisited: constraints from updated Hubble parameter measurements and Type Ia Supernovae data
• Constraints on modified Chaplygin gas from recent observations and a comparison of its status with other models
• Cosmology with a Variable Chaplygin Gas
• Setting the Stage for Cosmic Chronometers. I. Assessing the Impact of Young Stellar Populations on Hubble Parameter Measurements
• Notes on Ghost Dark Energy
• DBI-essence
• Astronomical bounds on a cosmological model allowing a general interaction in the dark sector
• Viscous generalized Chaplygin gas
• CMBR Constraint on a Modified Chaplygin Gas Model
• Variable Modified Chaplygin Gas and Accelerating Universe
• Comparison of dark energy models after Planck 2015
• Some Inflationary Einstein-Aether Cosmologies
• Unveiling cosmography from the dark energy equation of state
• Generalised DBI-Quintessence
• Exploring uncertainties in dark energy constraints using current observational data with Planck 2015 distance priors
• Constraints on a $\varphi$CDM model from strong gravitational lensing and updated Hubble parameter measurements
• Observational Constraints of Modified Chaplygin Gas in Loop Quantum Cosmology
• The generalized Chaplygin-Jacobi gas
• Late-time acceleration with a scalar field source: Observational constraints and statefinder diagnostics
• Planck Satellite Constraints on Pseudo-Nambu--Goldstone Boson Quintessence
• Study of parametrized dark energy models with a general non-canonical scalar field
• Observational Constraints on Modified Chaplygin Gas in Horava-Lifshitz Gravity
• Parametrizations of Dark Energy Models in the Background of General Non-canonical Scalar Field in $D$-dimensional Fractal Universe
• A Jacobian elliptic single-field inflation
• Study of Some Parameters of Modified Chaplygin Gas in Galileon Gravity Theory from Observational Perspective
• No slow-roll inflation à la Generalized Chaplygin Gas in General Relativity

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