New Conservation Laws for Zero Rest-Mass Fields in Asymptotically Flat Space-Time

摘要: Some recently discovered exact conservation laws for asymptotically flat gravitational fields are discussed in detail. The analogous zero rest-mass of arbitrary spin s(= 0, $\frac{1}{2}$, 1, $\ldots$) or space-time also considered and their connexion with a generalization Kirchoff's integral is pointed out. In space-time, an infinite hierarchy such exists each value, but these have somewhat trivial interpretation, describing the asymptotic incoming field (in fact giving coefficients power series expansion field). Maxwell linearized Einstein theories analysed here particularly. only first set quantities remain absolutely conserved. These 4s + 2 real quantities, s, D(s, 0) representation Bondi-Metzner-Sachs group. But even simple interpretation terms waves no longer holds good: it emerges from study stationary that contribution to involving multipole structure must be present. Only vacuum theory this here, corresponding discussions Einstein-Maxwell (by Exton authors) Einstein-Maxwell-neutrino Exton) being given elsewhere. (A discussion higher curved along lines would encounter familiar difficulties out by Buchdahl.) One consequence cannot become radiative then again after finite time, except possibly if certain (origin independent) quadratic combination moments returns its original value. This indicates existence 'tails' outgoing (or back-scattered field), which destroys nature final field.