On discrete features of the wave equation in singular pp-wave backgrounds
高能物理 - 理论
2011-06-02 v2 广义相对论与量子宇宙学
摘要
We analyze the wave equation in families of pp-wave geometries developing strong localized scale-invariant singularities in certain limits. For both cases of well-localized pp-waves and the so-called null-cosmologies, we observe an intriguing discrete dependence of the existence of a singular limit on the normalization of the pp-wave profile. We also find restrictive matching conditions relating the geometries before and after the singularity (if a singular limit for the solutions of the wave equation with initial conditions specified away from the near-singular region is assumed to exist).
引用
@article{arxiv.0806.3057,
title = {On discrete features of the wave equation in singular pp-wave backgrounds},
author = {Oleg Evnin and Timothy Nguyen},
journal= {arXiv preprint arXiv:0806.3057},
year = {2011}
}
备注
10 pages; v2: references and clarifications added, minor typos corrected