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.

arXiv comment7 pages, 4 figure panels

References in corpus (44)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Cosmological Constant - the Weight of the Vacuum
• 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
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• 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
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• 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
• Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• The Mass Power Spectrum in Quintessence Cosmological Models
• Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints
• Estimating the Redshift Distribution of Photometric Galaxy Samples II. Applications and Tests of a New Method
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• The BOOMERanG experiment and the curvature of the Universe
• Some Anisotropic Dark Energy Models in Bianchi Type-V Space-time
• Some Bianchi Type-V Models of Accelerating Universe with Dark Energy
• Bianchi Type VII_h Models and the WMAP 3-year Data
• Binned Hubble parameter measurements and the cosmological deceleration-acceleration transition
• Fast and Efficient Template Fitting of Deterministic Anisotropic Cosmological Models Applied to WMAP Data
• Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations
• Anisotropic dark energy model with a hybrid scale factor
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Current Constraints on Anisotropic and Isotropic Dark Energy Models
• Viability of Bianchi type V Universe in $f(R,T)=f_1(R)+f_2(R)f_3(T)$ gravity
• Constraining An Exact Brans-Dicke gravity theory with Recent Observations
• A transitioning universe with anisotropic dark energy
• Dark Energy Cosmological Models with General forms of Scale Factor
• FLRW cosmology with EDSFD parametrization
• Two Fluid Scenario in Bianchi Type-I Universe
• L.R.S. Bianchi type II Stiff Fluid cosmological model with Decaying Vacuum Energy Density $\Lambda$ in general relativity
• Anisotropic String Cosmological Models in Heckmann-Suchuking Space-Time
• Constraining Bianchi type V universe with recent H(z) and BAO observations in Brans-Dicke theory of gravitation
• Anisotropic cosmological models with two fluids
• Some Plane Symmetric Inhomogeneous Cosmological Models in the Scalar-Tensor Theory of Gravitation
• $\Lambda$CDM-type cosmological model and observational constraints
• Axially magnetized Dark Energy cosmological model
• $\Lambda$-CDM type Heckmann - Suchuking model and union 2.1 compilation

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