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Intrinsic Geometry of a Null Hypersurface

Paweł Nurowski, David C. Robinson

gr-qcarXiv:gr-qc/0006047

Abstract

We apply Cartan's method of equivalence to construct invariants of a given null hypersurface in a Lorentzian space-time. This enables us to fully classify the internal geometry of such surfaces and hence solve the local equivalence problem for null hypersurface structures in 4-dimensional Lorentzian space-times.

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