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

Dietrich Häfner; Cécile Huneau

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

Dietrich Häfner, Cécile Huneau

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	435-464
Number of pages	30
Journal	Advances in Differential Equations
Volume	24
Issue number	7-8
Publication status	Published - 1 Jan 2019
Externally published	Yes

Cite this

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

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

Abstract

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