Tails for the Einstein-Yang-Mills system

TL;DR

This paper investigates the late-time decay behavior of the Einstein-Yang-Mills system under spherical symmetry using numerical methods, revealing tail decay exponents near -4 at timelike infinity and -2 at null infinity.

Contribution

It provides the first detailed numerical analysis of tail decay exponents in the Einstein-Yang-Mills system with spherical symmetry.

Findings

Decay exponents close to -4 at timelike infinity

Decay exponents close to -2 at null infinity

Numerical evidence supporting tail decay behavior

Abstract

We study numerically the late-time behaviour of the coupled Einstein Yang-Mills system. We restrict ourselves to spherical symmetry and employ Bondi-like coordinates with radial compactification. Numerical results exhibit tails with exponents close to -4 at timelike infinity $i^+$ and -2 at future null infinity \Scri.