  FRW models of the universe have been studied in the cosmological theory based
on Lyra's manifold. A new class of exact solutions has been obtained by
considering a time dependent displacement field for variable deceleration
parameter from which three models of the universe are derived (i) exponential
(ii) polynomial and (iii) sinusoidal form respectively. The behaviour of these
models of the universe are also discussed. Finally some possibilities of
further problems and their investigations have been pointed out.
