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

Feb, 2000
36 pages
Published in:
  • Phys.Rev.D 62 (2000) 043513
e-Print:
Report number:
  • UMN-TH-1838-00,
  • BNL-NT-00-2,
  • NUC-MINN-00-3-T

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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.
  • general relativity
  • gauge field theory: SU(2)
  • Higgs model
  • Einstein equation: solution
  • monopole
  • dyon
  • black hole
  • fluctuation
  • stability
  • fractal