The cosmological gravitating $\sigma$ model: solitons and black holes

Abstract

We derive and analyze exact static solutions to the gravitating O(3) $\sigma$ model with cosmological constant in (2+1) dimensions. Both signs of the gravitational and cosmological constants are considered. Our solutions include geodesically complete spacetimes, and two classes of black holes.

10 pages, latex

References in corpus (1)

• Integrable models and degenerate horizons in two-dimensional gravity

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