# Einstein-Scalar Field System with a cosmological constant on the type I Bianchi space-time

## TL;DR

This paper proves the global existence of solutions for the Einstein-scalar field system with a cosmological constant in type I Bianchi space-time, contributing to understanding accelerated expansion in cosmological models.

## Contribution

It provides the first rigorous mathematical proof of global existence for this coupled system in a specific anisotropic cosmological setting.

## Key findings

- Global existence of solutions established
- Mathematical framework for Einstein-scalar field dynamics
- Insights into accelerated expansion mechanisms

## Abstract

In many cases a scalar field can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject particularly on type I Bianchi space-time. In this paper, global existence to the coupled Einstein-scalar field system which rules the dynamics of a kind of pure matter in the presence of a scalar field and cosmological constant is proven.