中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: Weihao Zheng (Rutgers University)
Inviter: 马思远
Language: Chinese
Title: Nonlinear stability of continuous self-similar naked singularities to the Einstein-scalar field equations
Time & Venue: 2026年7月21日（星期二） 10:30-11:30 ZoomID：706-602-857
Abstract: 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 singularites 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.
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