2000/02/18 by U. von der Goenna, A. Pravdova
Physics and Astronomy · #gr-qc
published as J.Math.Phys. 41 (2000) 3035-3044 · 8 pages, RevTeX, accepted for publication in J. Math. Phys
arxiv created 2000/02/18 · arxiv updated 2009/11/30
Symmetries of spacetimes with null dust field as a source compatible with asymptotic flatness are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in an axially symmetric spacetime with null dust field in which at least locally a smooth null infinity in the sense of Penrose exists, the only allowable additional Killing vector forming with the axial one a two-dimensional Lie algebra (the axial and the additional Killing vector are not assumed to be hypersurface orthogonal) is a supertranslational Killing vector and the gravitational field is then non-radiative (the Weyl tensor has a non-radiative character).