On Exact Cosmological Models of a Scalar Field in Lyra Geometry

TL;DR

This paper develops exact cosmological models involving a scalar field within Lyra geometry, incorporating a dynamic cosmological term influenced by an auxiliary interaction, using the superpotential method to find solutions.

Contribution

It introduces a novel approach to modeling scalar fields in Lyra geometry with a time-varying cosmological term using the superpotential method.

Findings

Derived exact solutions for the model equations.

Explored the influence of the auxiliary cosmological term.

Suggested directions for further research.

Abstract

Exact cosmological models for a scalar field in Lyra geometry are studied in the presence of a time-varying effective cosmological term originated from the specific interaction of an auxiliary $\Lambda$ - term with the displacement vector. In this case, some exact solutions for the model equations are obtained with the help of the so-called superpotential method (or the first-order formalism). Some possible ways of further developing for such a model are offered.