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Instability of naked singularities of perfect fluid under $C^{1,α}$ gravitational perturbations

Li, Junbin et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometrygeneral-relativity-and-quantum-cosmologymathematical-physics
We study the instability of the naked singularities arising in the spherically symmetric self-similar collapsing of the Einstein--Euler system under gravitational perturbations. We show that small $C^{1,α}$ perturbations (without any symmetries) of the initial conformal metric lead to trapped surfac
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