双曲叶状结构中的达朗贝尔解
广义相对论与量子宇宙学
2024-09-10 v2 天体物理仪器与方法
数学物理
math.MP
计算物理
摘要
我们显式地构造了 1+1 维波动方程在双曲设定下达朗贝尔解的类比。该双曲达朗贝尔解反过来用于直观理解双曲叶状结构中波动方程解的行为，并解释文献中讨论的数值构造解中观察到的一些看似反常的行为。
引用
@article{arxiv.2403.07045,
title = {The \v{d}Alembert solution in hyperboloidal foliations},
author = {Juan A. Valiente Kroon and Lidia J. Gomes Da Silva},
journal= {arXiv preprint arXiv:2403.07045},
year = {2024}
}
备注
21 pages, 10 figures; Amended to accommodate for referees requests and published version: important typo in Eqs.(12,13) corrected, and Appendix added with further examples in different hyperboloidal coordinate charts; Part of the topical collection "Hyperboloidal foliations in the era of gravitational-wave astronomy: from mathematical relativity to astrophysics"