0 41 10 01 v 1 2 9 O ct 2 00 4 A note on the non-existence of σ-model solitons in the 2 + 1 dimensional AdS gravity

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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