Lie groups of conformal motions acting on null orbits

Details Lie groups of conformal motions acting on null orbits Lie groups of conformal motions acting on null orbits

1997-08-11

arxiv.org/abs/gr-qc/9708020v1

Gen.Rel.Grav. 30 (1998) 151-157

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, Latex

Scientific paper

Space-times admitting a 3-dimensional Lie group of conformal motions $C_3$ acting on null orbits are studied. Coordinate expressions for the metric and the conformal Killing vectors (CKV) are provided (irrespectively of the matter content) and then all possible perfect fluid solutions are found, although none of these verify the weak and dominant energy conditions over the whole space-time manifold.

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