{ "id": "1612.06596", "version": "v1", "published": "2016-12-20T10:34:02.000Z", "updated": "2016-12-20T10:34:02.000Z", "title": "Instability of infinitely many stationary solutions of the SU(2) Yang-Mills fields on the exterior of the Schwarzschild black hole", "authors": [ "Dietrich Häfner", "Cécile Huneau" ], "categories": [ "math.AP" ], "abstract": "We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.", "revisions": [ { "version": "v1", "updated": "2016-12-20T10:34:02.000Z" } ], "analyses": { "keywords": [ "schwarzschild black hole", "yang-mills fields", "stationary solutions", "instability", "schwarzschild metric" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }