# Exact Cosmological Models with the Yang - Mills Fields on Lyra Manifold

## TL;DR

This paper constructs exact cosmological models incorporating Yang-Mills fields within Lyra geometry, providing solutions that describe the universe's expansion and analyzing their physical and geometrical properties.

## Contribution

It introduces new exact solutions for Yang-Mills cosmological models in Lyra geometry, expanding the understanding of such models beyond previous approaches.

## Key findings

- Derived exact solutions for YM fields in Lyra geometry.
- Explored exponential expansion law in the models.
- Discussed physical and geometrical implications of the solutions.

## Abstract

The present study deals with the Friedmann-Robertson-Walker cosmological models of the Yang-Mills (YM) fields in Lyra geometry. The energy-momentum tensor of the YM fields for our models is obtained with the help of exact solution for the corresponding YM equations subject to their minimal coupling to gravity. Two specific exact solutions of the model are obtained regarding the effective equation of state and the exponential law of expansion. Some physical and geometrical behavior of the model are also discussed.