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A note on the non-existence of $σ$-model solitons in the 2+1 dimensional AdS gravity

Piotr Bizoń·Arthur Wasserman
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Abstract

We show that the gravitating static soliton in the 2+1 dimensional O(3) $σ$ model does not exist in the presence of a negative cosmological constant.

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Piotr Bizoń, Arthur Wasserman. 2004-10-29. A note on the non-existence of $σ$-model solitons in the 2+1 dimensional AdS gravity. https://doi.org/10.1103/physrevd.71.108701

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