Lorentzian Metrics from Characteristic Surfaces
Simonetta Frittelli, Carlos Kozameh, Ted Newman
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 gab(x)? It follows from these results that one can use these surfaces as fundamental variables for GR.
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