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Abstract The present study deals with the investigation of the Friedmann-Lemaitre-Robertson-Walker models (often FLRW-models) with time varying G and ∧ in the framework of General theory of Relativity. The Einstein field equations have been solved by considering the time-varying deceleration parameter q(t) and Scale factor α ( t ) = e β t + ( sinh β t ) 1 m , where m and β are arbitrary constants. We have analysed the value of m , which will generate a transition for universe from early decelerating phase to recent acceleration phase. The physical and graphic behaviour have also been planned to study in this communication.
Jain et al. (Fri,) studied this question.