报 告 人: 郑伟豪 (罗格斯大学)

时间地点: 五教5106，6月17日15:00

题    目: Nonlinear stability of continuously self-similar naked singularities

摘    要: As part of the Weak Cosmic Censorship (WCC) conjecture, it has long been speculated by physicists that naked singularity solutions to the Einstein equations should not exist. However, the construction of a family of naked singularity spacetimes by Christodoulou for the Einstein-scalar field equations drastically changes the paradigm. Nonetheless, it has been shown that these naked singularity solutions are unstable to some rough perturbations, thus non-generic within this class of rough solutions. In complete contrast, in a recent work with Singh, we show there exists an open set of the initial data leading to naked singularities in a localized Hölder class, therefore falsifying the WCC conjecture for the Einstein-scalar field equation in this function class. Our work showcases that the precise formulation of the WCC conjecture is open to debate.

报告人简介: 郑伟豪，现为美国罗格斯大学博士生，2022年本科毕业于中国科学技术大学，主要研究广义相对论中的偏微分方程，研究成果发表在CMP等重要期刊上。