On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

2001/02/08 by Olivier Sarbach, O. Sarbach, Elizabeth Winstanley +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Formalism (music) #Geometry #Mathematical physics #Noncommutative and Quantum Gravity Theories #Parity (physics) #Perturbation (astronomy) #Physics #Quantum mechanics #gr-qc

paper · pdf · doi:10.1088/0264-9381/18/11/310

published as Class.Quant.Grav. 18 (2001) 2125-2146 · 26 pages, 1 figure

arxiv created 2001/02/08 · openalex publication_date 2001/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using a recently developed perturbation formalism based on
\ncurvature
\nquantities, we investigate the linear stability of black ho
\nles and solitons
\nwith Yang-Mills hair and a negative cosmological constant.
\nWe show
\nthat those solutions which have no linear instabilities und
\ner odd- and
\neven-parity spherically symmetric perturbations remain s
\ntable under odd-
\nparity, linear, non-spherically symmetric perturbations
\n.

Citations

• Existence of stable hairy black holes in su (2) Einstein-Yang-Mills theory with a negative cosmological constant
• Monopoles, dyons, and black holes in the four-dimensional Einstein-Yang-Mills theory
• Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups
• Thermodynamics of black holes in anti-de Sitter space
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Stability of a Schwarzschild Singularity