# On Bianchi type III Cosmological Model with Quadratic EoS in Lyra Geometry

## TL;DR

This paper explores Bianchi type III cosmological models within Lyra geometry, deriving exact solutions using a quadratic equation of state and analyzing their physical and geometrical properties.

## Contribution

It introduces exact solutions for Bianchi type III models with quadratic EoS in Lyra geometry, expanding understanding of anisotropic cosmologies.

## Key findings

- Derived exact solutions for the model.
- Analyzed physical and geometrical properties.
- Enhanced understanding of quadratic EoS in Lyra geometry.

## Abstract

The paper deals with the investigation of a homogeneous and anisotropic space-time described by Bianchi type III metric with perfect fluid in Lyra geometry setting. Exact solutions of the Einsten's field equations have been obtained under the assumption of quadratic equation of state (EoS) of the form p=a(rho)^2-(rho), where a is a constant and strictly a>0. The physical and geometrical aspects are also examined in details.