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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages, latex

Scientific paper

10.1088/0264-9381/17/13/307

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.

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