Aharonov–Bohm protection of black hole's baryon/skyrmion hair

• Main Authors: Gia Dvali, Alexander Gußmann
• Format: Article
• Language: English
• Published: Elsevier 2017-05-01
• Series: Physics Letters B
• Subjects: Skyrmion; Black hole; Black hole hair; Aharonov–Bohm effect
• Online Access: http://www.sciencedirect.com/science/article/pii/S037026931730182X

The baryon/skyrmion correspondence implies that the baryon number is encoded into a topological surface integral. Under certain conditions that we clarify, this surface integral can be measured by an asymptotic observer in form of an Aharonov–Bohm phase-shift in an experiment in which the skyrmion passes through a loop of a probe string. In such a setup the baryon/skyrmion number must be respected by black holes, despite the fact that it produces no long-range classical field. If initially swallowed by a black hole, the baryon number must resurface in form of a classical skyrmion hair, after the black hole evaporates below a certain critical size. Needless to say, the respect of the baryon number by black holes is expected to have potentially-interesting astrophysical consequences.