Dark Energy Cosmological Models in Lyra Geometry for Bianchi-I Space Time

Abstract

We construct cosmological models for dark energy based on Lyra’s geometry for the Bianchi-I space-time to understand the evolution of the universe. The specific choice of the deceleration parameter \(q=-\frac{\alpha _1}{t^2}+\alpha _2-1\) is used to determine the exact solutions of the field equations in Lyra geometry. The parameter \(\alpha _1\) has a dimension equal to the square of time. Further, we have discussed two cosmological models depending on the parameter \(\alpha _2\). Several physical parameters are obtained and the results in both the models are analyzed and presented graphically for the analysis of the results.