Gravitating $\sigma$ Model Solitons

Abstract

We study axially symmetric static solitons of O(3) nonlinear $\sigma$ 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 Ba$\tilde{n}$ados-Teitelboim-Zanelli black holes without non-Abelian scalar hair.

35 pages, RevTeX

References in corpus (3)

• Global Vortex and Black Cosmic String
• Charged Black Cosmic String
• Sigma Model on de Sitter Space

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• Scalar Hair of Global Defect and Black Brane World
• Black Brane World from Gravitating Half $\sigma$-lump
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