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Semi-global constructions of spacetimes containing curvature singularities
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abstract
We construct semi-global $(1+3)$-dimensional Lorentzian spacetimes satisfying the Einstein vacuum equations that contain curvature singularities that are propagated all the way up to future null infinity. Special cases of our constructions are semi-global spacetimes containing the interaction of two impulsive gravitational waves. The spacetimes that we construct can be considered as the semi-global analogues of the local spacetimes containing weak null singularities constructed by Luk, and of the local spacetimes containing the interaction of impulsive gravitational waves constructed by Luk and Rodnianski.
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Cited by 1 Pith paper
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High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov
Small U(1)-symmetric Einstein-massless Vlasov solutions are shown to be realizable as high-frequency limits of vacuum Einstein spacetimes, extending prior finite-null-dust constructions to general Vlasov fields.
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