Cosmic Colored Black Holes

TL;DR

This paper introduces new static solutions in the Einstein-Yang-Mills system with a cosmological constant, highlighting differences in asymptotic behavior and analyzing their stability through catastrophe theory and perturbation analysis.

Contribution

It presents novel black hole and particle-like solutions with unique asymptotic properties due to the cosmological constant, expanding understanding of Einstein-Yang-Mills configurations.

Findings

Solutions exhibit different asymptotic behavior because of the cosmological horizon.

Stability analysis reveals the number of unstable modes.

Existence of particle-like and black hole solutions in the system.

Abstract

We present spherically symmetric static solutions (a particle-like solution and a black hole solution) in the Einstein-Yang-Mills system with a cosmological constant.Although their gravitational structures are locally similar to those of the Bartnik-McKinnon particles or the colored black holes, the asymptotic behavior becomes quite different because of the existence of a cosmological horizon. We also discuss their stability by means of a catastrophe theory as well as a linear perturbation analysis and find the number of unstable modes.