The cosmological gravitating $\sigma$ model: solitons and black holes
G. Clement, A. Fabbri
TL;DR
This paper derives exact static solutions for the gravitating O(3) sigma model with a cosmological constant in (2+1) dimensions, revealing geodesically complete spacetimes and two classes of black holes.
Contribution
It provides new exact solutions for the gravitating sigma model with cosmological constant, including black holes and complete spacetimes, in (2+1) dimensions.
Findings
Existence of geodesically complete solutions.
Identification of two classes of black holes.
Solutions applicable for both signs of gravitational and cosmological constants.
Abstract
We derive and analyze exact static solutions to the gravitating O(3) 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.
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