Hidden symmetries and decay for the wave equation on the Kerr spacetime

• 成果类型: Article
• 署名作者: Andersson, Lars; Blue, Pieter
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2015.182.3.1
• 发表日期: 2015
• 页码: 787-853
• 关键词: black-hole; global existence; mode-stability; uniform decay; field; perturbations; SCATTERING; collapse

摘要

Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalisation of the vector-field method that allows the use of higher-order symmetry operators. In particular, our method makes use of the second-order Carter operator, which is a hidden symmetry in the sense that it does not correspond to a Killing symmetry of the spacetime.