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Sigma Model on de Sitter Space

Peter C. Aichelburg·Christiane Lechner
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Abstract

We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of non-linear matter coupled to gravity e.g. there exists a countable set of regular solutions with finite energy; all of the solutions show linear instability with the number of unstable modes increasing with energy.

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Peter C. Aichelburg, Christiane Lechner. 1997-10-29. Sigma Model on de Sitter Space. https://doi.org/10.1103/physrevd.57.6176

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