Sigma Model on de Sitter Space
General Relativity and Quantum Cosmology
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9710126,
title = {Sigma Model on de Sitter Space},
author = {Peter C. Aichelburg and Christiane Lechner},
journal= {arXiv preprint arXiv:gr-qc/9710126},
year = {2009}
}
Comments
11 pages, latex2e, 1 figure