Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups

1994/11/22 by Othmar Brodbeck, Norbert Straumann · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Gauge (firearms) #Gauge theory #Geometric Analysis and Curvature Flows #Instability #Nonlinear Partial Differential Equations #Soliton #gr-qc

paper · pdf · doi:10.1063/1.531441

published as J.Math.Phys.37:1414-1433,1996 · 26 pages, LATEX, no figures

arxiv created 1994/11/22 · openalex publication_date 1996/03/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We prove that static, spherically symmetric, asymptotically flat soliton and black hole solutions of the Einstein–Yang–Mills equations are unstable for arbitrary gauge groups, at least for the ‘‘generic’’ case. This conclusion is derived without explicit knowledge of the possible equilibrium solutions.

Citations

• Mass formulae of four-dimensional dilaton black holes

Cited by

• On the stability of soliton and hairy black hole solutions of 𝔰𝔲(N) Einstein-Yang-Mills theory with a negative cosmological constant
• Monopoles, dyons, and black holes in the four-dimensional Einstein-Yang-Mills theory
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector