Gravity, holonomy and light-cone cuts

Physics

Scientific paper

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Scientific paper

We present an outline of a D'Adhemar-like formulation for General Relativity, which puts emphasis on the light-cones as one of the basic variables. Two important aspects of this reformulation are: (1) it is possible (in a perturbative sense) to construct the general radiative solution for GR, i.e. one can find a (series of) integral relationships between the field and the free-characteristic data, and (2) as the light-cone itself now becomes a basic variable, one can clearly see the difficulties with the conventional view towards the problem of quantum gravity in that there is no natural way to include it in a quantization procedure.

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