Monopoles, dyons, and black holes in the four-dimensional Einstein-Yang-Mills theory

2000/02/22 by J. Bjoraker, Jeff Bjoraker, Yutaka Hosotani +1 · 4 citations
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Dyon #General relativity #Magnetic monopole #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.62.043513

published as Phys.Rev.D62:043513,2000 · 36 Pages, 16 Figures. Minor typos corrected and one figure modified

arxiv created 2000/02/22 · openalex publication_date 2000/07/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A continuum of monopole, dyon, and black hole solutions exists in the Einstein-Yang-Mills theory in asymptotically anti--de Sitter space. Their structure is studied in detail. The solutions are classified by non-Abelian electric and magnetic charges and the Arnowitt-Deser-Misner mass. The stability of the solutions which have no node in non-Abelian magnetic fields is established. There exist critical spacetime solutions which terminate at a finite radius, and have universal behavior. The moduli space of the solutions exhibits a fractal structure as the cosmological constant approaches zero.

Citations

• Black hole in three-dimensional spacetime
• Existence of stable hairy black holes in su (2) Einstein-Yang-Mills theory with a negative cosmological constant
• Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory
• Magnetic monopoles in unified gauge theories
• Gravitating dyons and dyonic black holes
• A classical instability of Reissner-Nordström solutions and the fate of magnetically charged black holes
• Eluding the no-hair conjecture: Black holes in spontaneously broken gauge theories
• Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Geometry of the 2+1 Black Hole
• The large N limit of superconformal field theories and supergravity

Cited by

• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• Spherically symmetric self-dual Yang-Mills instantons on curved backgrounds in all even dimensions
• Features of gravity–Yang-Mills hierarchies inddimensions
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes