IUCAA Preprints

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    LRS Bianchi I cosmological universe models with varying cosmological term
    (2000-02-25) Pradhan, Anirudh; Kumar, Ambarish
    Einstein'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.
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    Universe with time dependent deceleration parameter and /\ term in general relativity
    (2006-07-28) Pradhan, Anirudh; Otarod, Saeed
    A 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.