Impact of particle creation in Lyra's geometry

This manuscript is based on the Friedmann-Lemaitre-Robertson-Walker cosmological models within the framework of Lyra's geometry incorporating particle creation. The modified field equations are derived and exact solutions for the dust, stiff matter, vacuum energy and radiation dominated models are obtained. The solutions are derived under two different forms of a varying deceleration parameter, and a specific choice of the particle creation function. The particle creation pressure survives in the dust filled, stiff matter and radiation dominated models, whereas it vanishes in the vacuum energy model for all the universes (open, flat and closed). The deceleration parameter used in model-I widely encompasses all the universes, whereas in model-II, it encompasses only the flat universe in terms of acceptability of physical quantities. The results in both cases are analyzed and presented graphically.