Black Holes with Skyrme Hair

Abstract

This paper is intended to give a review of the recent developments on black holes with Skyrme hair. The Einstein-Skyrme system is known to possess black hole solutions with Skyrme hair. The spherically symmetric black hole skyrmion with B=1 was the first discovered counter example of the no-hair conjecture for black holes. Recently we found the B=2 axially symmetric black hole skyrmion. In this system, the black hole at the center of the skyrmion absorbs the baryon number partially, leaving fractional charge outside the horizon. Therefore the baryon number is no longer conserved. We examine the B=1, 2 black hole solutions in detail in this paper. The model has a natural extension to the gauged version which can describe monopole black hole skyrmions. Callan and Witten discussed the monopole catalysis of proton decay within the Skyrme model. We apply the idea to the Einstein-Maxwell-Skyrme system and obtain monopole black hole skyrmions. Remarkably there exist multi-black hole skyrmion solutions in which the gravitational, electromagnetic, and strong forces between the monopoles are all in balance. The solutions turn out to be stable under spherically symmetric linear perturbations.

arXiv comment40 pages, 14 figures; Invited paper for "Black Holes: Research and Development", Nova Science Publishers, Inc. NY

Cited by in corpus (8)

• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Speed of gravitational waves and black hole hair
• Skyrmion Black Hole Hair: Conservation of Baryon Number by Black Holes and Observable Manifestations
• Quasilocal Energy, Komar Charge and Horizon for Regular Black Holes
• Platonic Gravitating Skyrmions
• Aharonov-Bohm protection of black hole's baryon/skyrmion hair
• Spinning $\sigma$-model solitons in $2+1$ Anti-de Sitter space
• Growing Hair on the extremal $BTZ$ black hole