Cosmology with an Effective $\Lambda$-Term in Lyra Manifold

TL;DR

This paper explores a cosmological model within Lyra's geometry where an effective cosmological constant arises from the interaction of a displacement vector and an auxiliary Lambda term, providing new exact solutions.

Contribution

It introduces a novel cosmological model in Lyra's geometry with an effective Lambda term from vector interactions, offering new exact solutions and insights.

Findings

Derived exact solutions for the model equations

Demonstrated how the effective Lambda term influences cosmological dynamics

Provided preliminary analysis of simple cases

Abstract

A cosmological model in Lyra's geometry are studied under the assumption that an effective cosmological term is appeared in the field equations as the result of interaction between the displacement vector field and an auxiliary $ \Lambda $ - term. Some exact solutions of the model equations are obtained and preliminary studied for the simplest cases in order to illustrate how such a model works