The cosmological gravitating $σ$ model: solitons and black holes

G. Clement, A. Fabbri

Published 1999-12-07, updated 1999-12-08Version 2

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.