IUCAA Preprints
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Item LRS Bianchi I cosmological universe models with varying cosmological term(2000-02-25) Pradhan, Anirudh; Kumar, AmbarishEinstein's eld equations with cosmological term varying with time are considered in the context of general homogeneous, anisotropic universes in a way which conserves the energy{momentum tensor of matter content. It is shown that the eld equations are solvable for any arbitrary cosmic scale functions. Some physical and geometrical features of the models are discussed.Item Universe with time dependent deceleration parameter and /\ term in general relativity(2006-07-28) Pradhan, Anirudh; Otarod, SaeedA new class of exact solutions of Einstein’s field equations with perfect fluid for an LRS Bianchi type-I spacetime is obtained by using a time dependent deceleration parameter. We have obtained a general solution of the field equations from which three models of the universe are derived: exponential, polynomial and sinusoidal form respectively. The behaviour of these models of the universe are also discussed in the frame of reference of recent supernovae Ia observations.