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Spacetimes foliated by non-expanding null surfaces in the presence of a cosmological constant

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arxiv 1809.07666 v1 pith:3FUWAKHL submitted 2018-09-20 gr-qc

classification gr-qc
keywords non-expandingnullconstantcosmologicalfoliatedsinglesurfacesurfaces
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We prove that every solution to Einstein's equations with possibly non-zero cosmological constant that is foliated by non-expanding null surfaces transversal to a single non-expanding null surface belongs to family of the near (extremal) horizon geometries. Our results are local, hold in a neighborhood of the single non-expanding null surface.

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