Scalar Field Cosmology in Lyra's Geometry

TL;DR

This paper develops new homogeneous scalar field cosmological models within Lyra's geometry, deriving exact solutions using generating functions and first order formalism, contributing to alternative gravity theories.

Contribution

Introduces novel scalar field cosmological models in Lyra's geometry with exact solutions obtained via two distinct mathematical procedures.

Findings

New classes of homogeneous scalar field models constructed.

Exact solutions derived using generating function and first order formalism.

Models expand understanding of scalar fields in alternative geometrical frameworks.

Abstract

The new classes of homogeneous cosmological models for the scalar fields are build in the context of Lyra's geometry. The different types of exact solution for the model are obtained by applying two procedures, viz the generating function method and the first order formalism.