IUCAA Preprints
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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.