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Showing papers by "Simón Bolívar University published in 1973"


Journal ArticleDOI
TL;DR: The null dynamics of the first-order linearized theory has different qualitative properties with respect to the well-known dynamical analysis made by Arnowitt and Deser when it is chosen a preferredx 0 = const hypersurface as discussed by the authors.
Abstract: The null dynamics of the first-order linearized theory has different qualitative properties with respect to the well-known dynamical analysis made by Arnowitt and Deser when it is chosen a preferredx0 = const hypersurface. If we focus the study on the hypersurfacesx+ = const, the whole set of new constraints is found and after having been introduced into the action it is seen that the dynamics depend upon 2 dynamical independent variables. These 2 independent variables, which correspond to the fact that the linearized gravitational field is a massless helicity-2 field, are self-conjugate in a Hamiltonian sense,i.e. these variables essentially coincide with their momenta. Thus the Hamiltonian formalism is given without doubling the number of independent field variables, as in any integer-spinx0-formulation happens. The null Hamiltonian is found and it is seen to correspond to the momentumP+ of the field. Thereafter, the Heisenberg commutation relations for the dynamical variables are computed. Null electrodynamics is also studied starting from the first-order action and the so-called null gauge is discussed. In particular it is shown that its choice is not compulsory.

12 citations