Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory

Abstract

A continuum of monopole, dyon and black hole solutions exist 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 ADM 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.

36 Pages, 16 Figures. Minor typos corrected and one figure modified

References in corpus (7)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• Monopole and Dyon Solutions in AdS space
• Monopole Solutions in AdS Space
• Dyonic Non-Abelian Black Holes
• Do stringy corrections stabilize coloured black holes?

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