The gravitating $σ$ model in 2+1 dimensions: black hole solutions

Details The gravitating $σ$ model in 2+1 dimensions: black hole solutions The gravitating $σ$ model in 2+1 dimensions: black hole solutions

1998-04-21

arxiv.org/abs/gr-qc/9804050v1

Class.Quant.Grav. 16 (1999) 323-341

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, hrvmac, 10 epsf figures

Scientific paper

10.1088/0264-9381/16/2/001

We derive and discuss black-hole solutions to the gravitating O(3) $\sigma$ model in (2+1) dimensions. Three different kinds of static black holes are found. One of these resembles the static BTZ black hole, another is completely free of singularities, and the last type has the same Penrose diagram as the (3+1)-dimensional Schwarzschild black hole. We also construct static and dynamical multi-black hole systems.

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