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Symmetries of asymptotically flat axisymmetric spacetimes with null dust

U. von der Goenna·A. Pravdova
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Abstract

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).

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U. von der Goenna, A. Pravdova. 2000-02-18. Symmetries of asymptotically flat axisymmetric spacetimes with null dust. https://arxiv.org/abs/gr-qc/0002064

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