Symmetries of asymptotically flat axisymmetric spacetimes with null dust

Details Symmetries of asymptotically flat axisymmetric spacetimes with null dust Symmetries of asymptotically flat axisymmetric spacetimes with null dust

2000-02-18

arxiv.org/abs/gr-qc/0002064v1

J.Math.Phys. 41 (2000) 3035-3044

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTeX, accepted for publication in J. Math. Phys

Scientific paper

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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