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

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 an 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 Pantheon 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 q0 = -0.59-0.03+0.04</mml:msubsup> and - 0.59-0.03+0.02</mml:msubsup> 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 a transition redshift exists. Thus, the universe in the derived model represents a transitioning universe which is in an accelerated phase of expansion at present epoch. We have estimated the current age of the universe (t0) and present value of the jerk parameter (j0). Our obtained values of <mml:msub>t0 and <mml:msub>j0 are in good agreement with their values estimated by Planck collaborations and WMAP observations.