Lorentzian Metrics from Characteristic Surfaces

Abstract

The following issue is raised and discussed; when do families of foliations by hypersurfaces on a given four dimensional manifold become the null surfaces of some unknown, but to be determined, metric $g_{ab}(x)$? It follows from these results that one can use these surfaces as fundamental variables for GR.

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References in corpus (2)

• GR via Characteristic Surfaces
• Linearized Einstein theory via null surfaces

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