Bianchi Type-I Anisotropic Dark Energy Models with Constant Deceleration Parameter

摘要

New dark energy models in anisotropic Bianchi type-I (B-I) space-time withvariable EoS parameter and constant deceleration parameter have beeninvestigated in the present paper. The Einstein's field equations have beensolved by applying a variation law for generalized Hubble's parameter in B-Ispace-time. The variation law for Hubble's parameter generates two types ofsolutions for the average scale factor, one is of power-law type and other isof the exponential form. Using these two forms, Einstein's field equations aresolved separately that correspond to expanding singular and non-singular modelsof the universe respectively. The equation of state (EoS) parameter $\omega$ isfound to be time dependent and its existing range for this model is in goodagreement with the recent observations of SNe Ia data, SNe Ia data (with CMBRanisotropy) and galaxy clustering statistics. The cosmological constant$\Lambda$ is found to be a decreasing function of time and it approaches asmall positive value at late time (i.e. the present epoch) which iscorroborated by results from recent supernovae Ia observations.