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arXiv · gr-qc/9803003

Gravitating $σ$ Model Solitons

Yoonbai Kim·Sei-Hoon Moon
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Abstract

We study axially symmetric static solitons of O(3) nonlinear $σ$ 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.

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Yoonbai Kim, Sei-Hoon Moon. 1998-03-01. Gravitating $σ$ Model Solitons. https://doi.org/10.1103/physrevd.58.105013

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