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.Item Plane symmetric inhomogeneous bulk viscous domain wall in Lyra geometry(2005-07-01) Pradhan, Anirudh; Rai, Vandana; Otarod, SaeedSome bulk viscous general solutions are found for domain walls in Lyra geometry in the plane symmetric inhomogeneous spacetime. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field β. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density. Some physical consequences of the models are also given. Finally, the geodesic equations and acceleration of the test particle are discussed.