Cosmological Models with a Varying $\Lambda$ -Term in Lyra's Geometry

TL;DR

This paper develops cosmological models within Lyra's geometry incorporating a dynamic cosmological constant and matter interaction, providing exact solutions for various matter states and decay laws of Lambda.

Contribution

It introduces new exact solutions in Lyra's geometry with a varying Lambda-term and matter interaction, expanding the understanding of cosmological evolution in this framework.

Findings

Exact solutions for different matter equations of state

Models with decaying Lambda-term

Insights into matter-Lambda interaction effects

Abstract

Cosmological models in Lyra's geometry are constructed and investigated with the assumption of a minimal interaction of matter with the displacement vector field and the dynamical $\Lambda$ - term. Exact solutions of the model equations are obtained for the different equations of state of the matter, that fills the universe, and for the certain assumptions on the decaying law for $\Lambda$.