关于类光Galileon解稳定性的注记
Note on the Stabilities of the Light-like Galileon Solutions
摘要:
类光伽利略解已经被用来研究类伽利略理论中的年代学问题,在某些情况下也可以被认为是孤子,回避了零模论证中的不存在约束。通过“局部”近似分析了它们的稳定性,这似乎表明所有这些类光解都是稳定的。通过求解线性微扰方程\emph{exactly},重新分析了类光孤子的稳定性问题,指出有限能量条件是类光孤子稳定的必要条件。我们还澄清了潜在的鬼不稳定性和为什么零模的论点不能天真地推广到包括光孤子。
英文摘要:
Light-like galileon solutions have been used to investigate the chronology problem in galileon-like theories, and in some cases may also be considered as solitons, evading a non-existence constraint from a zero-mode argument. Their stabilities have been analyzed via "local" approximation, which appears to suggest that all these light-like solutions are stable. We re-analyze the stability problem by solving the linear perturbation equation \emph{exactly}, and point out that the finite energy condition is essential for the light-like solitons to be stable. We also clarify potential ghost instabilities and why the zero-mode argument can not be naively generalized to include the light-like solitons.
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