An Accelerating Flat FLRW Model with Observation Constraints and Dynamic $\Lambda$

Abstract

In this paper, we explore power law solution of FLRW universe model that is associated with a variable cosmological term $\Lambda (t)$ as a linear function of $\frac{\ddot{a}}{a},(\frac{\dot{a}}{a}{)}^2$ and $\rho$. The model parameters were estimated on the basis of the four data sets: The Hubble 46 data, the Union 2.1 compilation data sets comprising of distance modulus of 580 SNIa supernovae at different redshifts, the Pantheon data set which contains Apparent magnitudes of 1048 SNIa supernovae at various redshifts and finally BAO data set of volume averaged distances at 5 redshifts. We employ the conventional Bayesian methodology to analyze the observational data and also the Markov Chain Monte Carlo (MCMC) technique to derive the posterior distributions of the parameters. The best fit values of Hubble parameter $H_0$ as per the four data sets are found as $61.53_{-0.456}^{+0.453}$, $69.270_{-0.228}^{+0.229}$, $78.116_{-0.479}^{+0.480}$, and $71.318_{-2.283}^{+2.473}$ respectively. Off late the present value of Hubble parameters $H_0$ were empirically given as 73 and 67.7 (km/s)/Mpc using distance ladder techniques and measurements of the cosmic microwave background. The OHD+BAO+Union and ~OHD+Pan+BAO+Union combined data sets provide the best fit Hubble parameter value $H_0$ as $67.427_{-0.199}^{+0.197}$ and $74.997_{-0.145}^{+0.143}$ respectively. The various geometrical and physical properties of the model were also investigated and were found in good agreements with observations.

arXiv comment23 pages, 9 figures and 8 Tables

References in corpus (38)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The Case for a Positive Cosmological Lambda-term
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• 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
• In the Realm of the Hubble tension $-$ a Review of Solutions
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• The Pantheon+ Analysis: Cosmological Constraints
• The Second Data Release of the Sloan Digital Sky Survey
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Cosmological implications of baryon acoustic oscillation (BAO) measurements
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• The Cosmological Constant is Back
• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• The Atacama Cosmology Telescope: Two-Season ACTPol Spectra and Parameters
• Consequences on variable Lambda-models from distant Type Ia supernovae and compact radio sources
• Higher spin fields and the problem of cosmological constant
• JWST early Universe observations and ΛCDM cosmology
• A 5% measurement of the Hubble constant from Type II supernovae
• Spherical symmetry in the kilonova AT2017gfo/GW170817
• An Axially Symmetric Transitioning models with Observational Constraints
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity
• The perspective of voids on rising cosmology tensions
• Cosmological model with decaying vacuum energy law from principles of quantum mechanics
• Reconstruction of an Observationally Constrained $f(R,T)$ gravity model
• Cosmological Consequences of a Variable Cosmological Constant Model
• Geometrical Origin of the Cosmological Constant
• Cosmological constraints on time-varying cosmological terms: A study of FLRW universe models with $\Lambda (t)$CDM cosmology
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity in Bianchi-I spacetime

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