Internal structure of Skyrme black hole

TL;DR

This paper investigates the internal structure of Skyrme black holes, revealing oscillating behaviors near singularities and identifying stable and unstable solutions, with comparisons to Einstein-Yang-Mills systems.

Contribution

It provides the first detailed analysis of the internal structure of Skyrme black holes, including oscillation patterns and stability properties, extending understanding beyond previous models.

Findings

Oscillating behavior near singularity similar to EYM system

Mass term in Skyrme field reduces oscillation severity

Existence of Schwarzschild-like solutions with distinct stability branches

Abstract

We consider the internal structure of the Skyrme black hole under a static and spherically symmetric ansatz. $@u8(Be concentrate on solutions with the node number one and with the "winding" number zero, where there exist two solutions for each horizon radius; one solution is stable and the other is unstable against linear perturbation. We find that a generic solution exhibits an oscillating behavior near the sigularity, as similar to a solution in the Einstein-Yang-Mills (EYM) system, independently to stability of the solution. Comparing it with that in the EYM system, this oscillation becomes mild because of the mass term of the Skyrme field. We also find Schwarzschild-like exceptional solutions where no oscillating behavior is seen. Contrary to the EYM system where there is one such solution branch if the node number is fixed, there are two branches corresponding to the stable and the unstable ones.