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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…
Einstein-Maxwell Equations on Mass-Centered GCM Hypersurfaces
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
The resolution of the nonlinear stability of black holes as solutions to the Einstein equations relies crucially on imposing the right geometric gauge conditions. In the vacuum cas…
Mass-Centered GCM Framework in Perturbations of Kerr(-Newman)
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
The nonlinear stability problem for black hole solutions of the Einstein equations critically depends on choosing an appropriate geometric gauge. In the vacuum setting, the use of…
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…
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…
Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case , in Axial Symmetry
Elena Giorgi, Jingbo Wan
We establish boundedness and polynomial decay results for the Teukolsky system in the exterior spacetime of very slowly rotating and strongly charged sub-extremal Kerr-Newman black…