4 papers · 1 filter
Wave decay and horizon instability on strongly charged extremal Kerr-Newman black holes
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
We prove the first boundedness and pointwise decay result for the scalar wave equation on rotating extremal black holes without any symmetry assumptions. The result applies to slow…
Vacuum initial data with minimal decay and borderline decay
Dawei Shen, Jingbo Wan
In this note, we show that the conical solution-operator method of Mao-Tao in [Localized initial data for Einstein equations] applies to a simple construction of vacuum asymptotica…
Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system
Dawei Shen, Jingbo Wan
In this paper, we prove a scale-critical trapped surface formation result for the Einstein--Maxwell--charged scalar field (EMCSF) system, without any symmetry assumptions. Specific…
Physical-space estimates for axisymmetric waves on extremal Kerr spacetime
Elena Giorgi, Jingbo Wan
We study axisymmetric solutions to the wave equation on extremal Kerr backgrounds and obtain integrated local energy decay (or Morawetz estimates) through an analysis \textit{exclu…