Instability of infinitely many stationary solutions of the SU(2) Yang-Mills fields on the exterior of the Schwarzschild black hole

2016/12/20 by Dietrich Häfner, Häfner, Dietrich, Cécile Huneau +1
Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.1612.06596

openalex publication_date 2016/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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