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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Scientific paper

10.1103/PhysRevD.71.108701

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

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