Global existence of solutions to the Einstein-Yang-Mills-dilaton equations

TL;DR

This paper investigates the global existence of solutions to the Einstein-Yang-Mills-dilaton equations, but was withdrawn due to a proof error, though numerical evidence supports the lemma involved.

Contribution

The paper aims to establish global solutions for Einstein-Yang-Mills-dilaton equations, contributing to mathematical physics, despite the withdrawal of the original proof.

Findings

Numerical evidence supports the validity of the key lemma.

The original proof contained an error, leading to withdrawal.

The research suggests the potential truth of the lemma despite the proof issue.

Abstract

This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.