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Spacetimes foliated by non-expanding null surfaces in the presence of a cosmological constant
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Spacetimes foliated by non-expanding null surfaces in the presence of a cosmological constant
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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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Cited by 1 Pith paper
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Locally Boost Isotropic Spacetimes and the Type ${\bf D}^k$ Condition
All type D^k spacetimes are identified as degenerate Kundt metrics obeying precise conditions on their metric functions, and any two can be distinguished by their scalar polynomial curvature invariants.
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