CONICET | Buscador de Institutos y Recursos Humanos

The dynamical equations for the Null Surface Formulation of General Relativity for pure ra-diatively space times are derived. Those asymptotically flat space times describe the non linearevolution of gravitational radiation and represent a classical graviton. The evolution equations constitute a set of three partial diferential equations in a six dimensional space and the source term is the free initial data of incoming gravitational radiation. The Huygens part of the wave propagation, back reaction terms and source terms are identified in the resulting equations. An analysis of the range of validity of these equations based on the development of caustics is also given.Using the available asymptotic quantization scheme originally derived by A. Ashtekar we introduce quantum observables representing the spacetime points and obtain non trivial commutation relations.