13 citations · 83 across the 18 of their papers we have counts for
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Quantitative blow-up estimates for spacelike singularities in gravitational-collapse cosmological spacetimes
Xinliang An, Haoyang Chen, Taoran He
Under spherical symmetry, with double-null coordinates , we study the gravitational collapse of the Einstein--scalar field system with a positive cosmological constant. The…
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…
Warped Product Space-times
Xinliang An, Willie Wai Yeung Wong
Many classical results in relativity theory concerning spherically symmetric space-times have easy generalizations to warped product space-times, with a two-dimensional Lorentzian…
Emergence of Apparent Horizon in Gravitational Collapse
Xinliang An
We solve Einstein vacuum equations in a spacetime region up to the "center" of gravitational collapse. Within this region, we construct a sequence of marginally outer trapped surfa…
Naked singularity and black hole formation in self-similar Einstein-scalar fields with exponential potentials
Xuefeng Zhang, Xinliang An
Motivated by cosmic censorship in general relativity and string theory, we extend Christodoulou's celebrated examples of naked singularity formation in the Einstein-massless scalar…
Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes
Xinliang An, Xuefeng Zhang
The vacuum Einstein equations in 5+1 dimensions are shown to admit solutions describing naked singularity formation in gravitational collapse from nonsingular asymptotically locall…
Trapped surfaces in vacuum arising dynamically from mild incoming radiation
Xinliang An, Jonathan Luk
In this paper, we study the "minimal requirement" on the incoming radiation that guarantees a trapped surface to form in vacuum. First, we extend the region of existence in Christo…
Formation of Trapped Surfaces from Past Null Infinity
Xinliang An
In this paper, we extend the results of Klainerman and Rodnianski in \cite{KR:Trapped}, which were obtained for a finite region, by showing similar results from past null infinity.…