6 papers
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…
Cauchy Data for Formation of Multiple Black Holes with Prescribed ADM Parameters
Dawei Shen, Jingbo Wan
We give a simple construction of smooth, asymptotically flat vacuum initial data modeling a relativistic collapsing --body system, with independently prescribed ADM energy, line…
Cauchy data for multiple collapsing boson stars
Elena Giorgi, Dawei Shen, Jingbo Wan
We construct Cauchy initial data for the Einstein-Maxwell-Klein-Gordon (EMKG) system, which evolves in finite time into spacetimes containing multiple trapped surfaces. From a phys…
Formation of multiple Black Holes from Cauchy data
Dawei Shen, Jingbo Wan
We construct a family of asymptotically flat Cauchy initial data for the Einstein vacuum equations that contain no trapped surfaces, yet whose future development admits multiple ca…
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…
A canonical foliation on null infinity in perturbations of Kerr
Sergiu Klainerman, Dawei Shen, Jingbo Wan
Kerr stability for small angular momentum has been proved in the series of works by Klainerman-Szeftel, Giorgi-Klainerman-Szeftel and Shen. Some of the most basic conclusions of th…