On the mode stability of a self-similar wave map
Mathematical Physics
2008-11-26 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
We study linear perturbations of a self-similar wave map from Minkowski space to the three-sphere which is conjectured to be linearly stable. Considering analytic mode solutions of the evolution equation for the perturbations we prove that there are no real unstable eigenvalues apart from the well-known gauge instability.
Keywords
Cite
@article{arxiv.math-ph/0702025,
title = {On the mode stability of a self-similar wave map},
author = {Roland Donninger and Peter C. Aichelburg},
journal= {arXiv preprint arXiv:math-ph/0702025},
year = {2008}
}
Comments
Accepted for publication in J. Math. Phys., some changes to match the published version