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Leading-order term expansion for the Teukolsky equation on subextremal Kerr black holes

组织者

拉尔斯•安德森 , 赵博文

演讲者

Pascal Millet

时间

2023年05月15日 16:00 至 17:00

地点

A3-4-312

线上

Zoom 928 682 9093 (BIMSA)

摘要

The study of wave propagation on black hole spacetimes has been an intense field of research over the last decades. This interest is driven by the stability problem for black holes and by scattering questions. In the case of Maxwell's equations and the equations of linearized gravity, it is possible to base the analysis on the study of the Teukolsky equation, which has the advantage of being scalar in nature. I will present a result providing the large time leading-order term for initially localized and regular solutions and valid for the full subextremal range of black hole parameters. I will also present some aspects of the proof which relies on spectral and microlocal methods.