13 citations · 83 across the 18 of their papers we have counts for
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Anisotropic Dynamical Horizons Arising in Gravitational Collapse
Xinliang An, Qing Han
For the study of dimensional Einstein vacuum equations (EVEs), substantial progress has been made recently on the problem of trapped surface formation. However, very limited…
A scale-critical trapped surface formation criterion for the Einstein-Maxwell system
Xinliang An, Nikolaos Athanasiou
In this study we show that, from arbitrarily dispersed initial data, both the concentration of electromagnetic fields and the focusing of gravitational waves could lead to the form…
Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation
Xinliang An, Zhan Feng Lim
In this paper, under spherical symmetry we prove a trapped surface formation criterion for the Einstein-Maxwell-charged scalar field system. We generalize an approach introduced by…
Curvature blow-up rates in spherically symmetric gravitational collapse to a Schwarzschild black hole
Xinliang An, Dejan Gajic
We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-…
Polynomial Blow-up Upper Bounds for the Einstein-scalar field System Under Spherical Symmetry
Xinliang An, Ruixiang Zhang
For general gravitational collapse, inside the black-hole region, singularities may arise. In this article, we aim to answer how strong these singularities could be. We ana…
Low regularity ill-posedness for elastic waves driven by shock formation
Xinliang An, Haoyang Chen, Silu Yin
In this paper, we construct counterexamples to the local existence of low-regularity solutions to elastic wave equations in three spatial dimensions (3D). Inspired by the recent wo…