Constraining Cosmological Parameters with Viscous Modified Chaplygin Gas and Generalized Cosmic Chaplygin Gas Models in Horava-Lifshitz Gravity: Utilizing Late-time Datasets

Abstract

This study examines accelerated cosmic expansion using the Viscous Modified Chaplygin Gas (VMMG) and Generalized Cosmic Chaplygin Gas (GCCM) within Horava-Lifshitz gravity. Our aim is to constrain essential cosmological parameters, such as the Hubble Parameter ($H_0$) and Sound Horizon ($r_d$). We utilize late-time datasets: 17 Baryon Acoustic Oscillation observations, 33 Cosmic Chronometer measurements, 40 Type Ia Supernovae data points, 24 quasar Hubble diagram data points, and 162 Gamma Ray Bursts data points, along with the latest determination of the Hubble constant (R22). Treating $r_d$ as a free parameter offers several advantages, including mitigating bias, enhancing precision, and improving compatibility with various datasets. By introducing random correlations in the covariance matrix during simulation, errors are effectively reduced. Our estimated values of the Hubble constant ($H_0$) and $r_d$ consistently align with measurements from both the Planck and SDSS experiments. Cosmographic tests provide valuable insights into the dynamics of various cosmological models, enriching our understanding of cosmic evolution. Statefinder diagnostics offer deeper insights into cosmic expansion dynamics, aiding in distinguishing between cosmological frameworks. Furthermore, the $o_m$ diagnostic test reveals that at late times, VMMG falls into the phantom region, while GCCM falls into the quintessence region. The Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) support all models, indicating plausible explanations. Notably, the $\Lambda$CDM model emerges with the lowest AIC score, suggesting its relatively superior fit. Validation via the reduced ${\chi }_{\text{red}}^2$ statistic confirms satisfactory fits across all models, reinforcing their credibility.

arXiv comment17 pages, 7 figures

References in corpus (76)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• f(R) theories
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Case for a Positive Cosmological Lambda-term
• Quantum Gravity at a Lifshitz Point
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Cosmological Constant
• An alternative to quintessence
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmological Results from High-z Supernovae
• Statefinder -- a new geometrical diagnostic of dark energy
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Tachyon Matter
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Membranes at Quantum Criticality
• Two new diagnostics of dark energy
• Jerk, snap, and the cosmological equation of state
• A New Model of Agegraphic Dark Energy
• PolyChord: nested sampling for cosmology
• Can the Chaplygin gas be a plausible model for dark energy?
• Role of Modified Chaplygin Gas in Accelerated Universe
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Baryon acoustic oscillations with Lyman-$\alpha$ forests
• Cosmography: Cosmology without the Einstein equations
• The Cosmological Constant Problem and Quintessence
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the Quasar Sample in configuration space between redshift 0.8 and 2.2
• Lorentz-Violating Vector Fields Slow the Universe Down
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic power spectrum between redshifts 0.6 and 1.0
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• Cosmology of the Lifshitz universe
• You need not be afraid of phantom energy
• Non trivial frames for f(T) theories of gravity and beyond
• Effective equation of state and energy conditions in phantom/tachyon inflationary cosmology perturbed by quantum effects
• The Dynamics of Quintessence, The Quintessence of Dynamics
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Large-scale Structure Catalogues and Measurement of the isotropic BAO between redshift 0.6 and 1.1 for the Emission Line Galaxy Sample
• Perturbative instabilities in Horava gravity
• Horava-Lifshitz Dark Energy
• Constraints on modified Chaplygin gas from recent observations and a comparison of its status with other models
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• Dark Energy Survey Year 3 Results: A 2.7% measurement of Baryon Acoustic Oscillation distance scale at redshift 0.835
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• Detailed balance in Horava-Lifshitz gravity
• Viscous generalized Chaplygin gas
• Evolution of a Schwarzschild Black Hole in Phantom-like Chaplygin gas Cosmologies
• The length of the low-redshift standard ruler
• New agegraphic dark energy in Horava-Lifshitz cosmology
• Variable Modified Chaplygin Gas and Accelerating Universe
• Spherically symmetric solutions in modified Horava-Lifshitz gravity
• WMAP5 constraints on the unified model of dark energy and dark matter
• Constraining Lorentz violation with cosmology
• Generalized Holographic Dark Energy Model
• How clustering dark energy affects matter perturbations
• Statefinder hierarchy of bimetric and galileon models for concordance cosmology
• Horava Gravity in the Effective Field Theory formalism: from cosmology to observational constraints
• Can Quintessence Be The Rolling Tachyon?
• Cosmological constraints on deviations from Lorentz invariance in gravity and dark matter
• Gravitational waves and the polarizations in Hořava gravity after GW170817
• Agegraphic dark energy: growth index and cosmological implications
• Modified Chaplygin Gas Cosmology with Bulk Viscosity
• Cosmological constraints on Hořava gravity revised in light of GW170817 and GRB170817A and the degeneracy with massive neutrinos
• Model-independent study for a quintessence model of dark energy: Analysis and Observational constraints
• Horava-Lifshitz cosmology with generalized Chaplygin gas
• Nonparametric reconstruction of the Om diagnostic to test LCDM
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• A New Variable Modified Chaplygin Gas Model Interacting with Scalar Field
• Observational Constraints on Modified Chaplygin Gas in Horava-Lifshitz Gravity
• Structure formation in dark energy cosmologies described by PADE parameterization
• Modified Cosmic Chaplygin AdS Black Hole
• Gravitational Baryogenesis in Ho$\check{r}$ava-Lifshitz gravity
• Generalized Cosmic Chaplygin Gas Model with or without Interaction