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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…
Constructing entire minimal graphs by evolving planes
Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1
We introduce an evolving-plane ansatz for the explicit construction of entire minimal graphs of dimension () and codimension (), for any odd integer .…
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…