2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176175A 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.14 pages, 9 figures. Astrophys. Space Sci. (2006), to appearGeneral Relativity and Quantum Cosmologytext