A cosmological model of the early universe based on ECG with variable $\Lambda$-term in Lyra geometry

摘要

In this paper, we study interacting extended Chaplygin gas as dark matter andquintessence scalar field as dark energy with an effective $\Lambda$-term inLyra manifold. As we know Chaplygin gas behaves as dark matter at the earlyuniverse while cosmological constant at the late time. Modified field equationsare given and motivation of the phenomenological models discussed in details.Four different models based on the interaction term are investigated in thiswork. Then, we consider other models where Extended Chaplygin gas andquintessence field play role of dark matter and dark energy respectively withtwo different forms of interaction between the extended Chaplygin gas andquintessence scalar field for both constant and varying $\Lambda$. Concerningto the mathematical hardness of the problems we discuss results numerically andgraphically. Obtained results give us hope that proposed models can work asgood models for the early universe with later stage of evolution containingaccelerated expansion.