Stable regular solution of Einstein-Yang-Mills equation

TL;DR

This paper presents the first stable, non-singular, spherically symmetric solution to the Einstein-Yang-Mills equations, which could have implications for dark matter models due to its exponential decay properties.

Contribution

It introduces the first dynamically stable, regular solution to the Einstein-Yang-Mills equations, expanding understanding of possible stable configurations.

Findings

Solution is regular at r=0 and asymptotically flat.

Yang-Mills field strength decays exponentially.

Potential candidate for dark matter due to decay properties.

Abstract

In this letter, we find the first dynamically stable non-singular solution spherically symmetric SU(2) Einstein-Yang-Mills equation. This solutions is regular at r=0 and asymptotically flat. Since the Yang-Mills field strength decay exponentially, the Einstein-Yang-Mills particle perhaps can be used to be a candidate for dark matter.