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gr-qc2015
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…
math.AP2015★ 1 cited
Fermi's Golden Rule and Scattering for Nonlinear Klein-Gordon Equations with Metastable States
Xinliang An, Avy Soffer
In this paper, we explore the metastable states of nonlinear Klein-Gordon equations with potentials. These states come from the instability of a bound state under a nonlinear Fermi…
gr-qc2015★ 13 cited
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…