Gravitating sigma model solitons

Mar, 1998
35 pages
Published in:
  • Phys.Rev.D 58 (1998) 105013
e-Print:
Report number:
  • SNUTP-97-112

Citations per year

19992001200320052006301
Abstract: (arXiv)
We study axially symmetric static solitons of O(3) nonlinear σ\sigma model coupled to (2+1)-dimensional anti-de Sitter gravity. The obtained solutions are not self-dual under static metric. The usual regular topological lump solution cannot form a black hole even though the scale of symmetry breaking is increased. There exist nontopological solitons of half integral winding in a given model, and the corresponding spacetimes involve charged Ban~\tilde nados-Teitelboim-Zanelli black holes without non-Abelian scalar hair.
Note:
  • 35 pages, RevTeX
  • sigma model: nonlinear
  • gravitation
  • dimension: 3
  • space-time: anti-de Sitter
  • graviton
  • symmetry breaking
  • numerical calculations
  • bibliography