An exact solution of the observable universe in Bianchi V space-time

Abstract

In this paper we investigate an observable universe in Bianchi type V space-time by taking into account the cosmological constant as the source of energy. We have performed a ${\chi }^2$ test to obtain the best fit values of the model parameters of the universe in the derived model. We have used two types of data sets, viz: i) 31 values of the Hubble parameter and ii) the 1048 Phanteon data set of various supernovae distance moduli and apparent magnitudes. From both the data sets, we have estimated the current values of the Hubble constant, density parameters $({\Omega }_m{)}_0$ and $({\Omega }_{\Lambda }{)}_0$. The present value of deceleration parameter of the universe in derived model is obtained as $q_0=0.59_{-0.03}^{+0.04}$ and $0.59_{-0.03}^{+0.02}$ in accordance with $H(z)$ and Pantheon data respectively. Also we observe that there is a signature flipping in the sign of deceleration parameter from positive to negative and transition red-shift exists. Thus, the universe in derived model represents a transitioning universe which is in accelerated phase of expansion at present epoch. We have estimated the current age of the universe $(t_0)$ and present value of jerk parameter $(j_0)$. Our obtained values of $t_0$ and $j_0$ are in good agreement with its values estimated by Plank collaborations and WMAP observations.

7 pages, 4 figure panels

References in corpus (9)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• A kinematical approach to dark energy studies
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Bianchi Type VII_h Models and the WMAP 3-year Data
• Fast and Efficient Template Fitting of Deterministic Anisotropic Cosmological Models Applied to WMAP Data
• L.R.S. Bianchi type II Stiff Fluid cosmological model with Decaying Vacuum Energy Density $\Lambda$ in general relativity
• Anisotropic cosmological models with two fluids

Cited by in corpus (3)

• On the evolution of the Hubble constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: a feasibility study for GRB-cosmology in 2030
• Bianchi type-V Transitioning model in Brans-Dicke theory with Observational Constraint
• Accelerating Universe with binary mixture of bulk viscous fluid and dark energy