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Conformal Killing vectors in Robertson-Walker spacetimes. (English) Zbl 0596.53021
Since the conformal group is 15 dimensional there are 15 linearly independent Killing vector fields in conformally flat space-times. The authors have made a systematic study of all these Killing vector fields. The non-normal Killing vectors are used to find the general solution of the null geodesic equation and the photon Liouville equation.
Reviewer: C.S.Sharma
MSC:
53B30Lorentz metrics, indefinite metrics
53A30Conformal differential geometry
83C40Gravitational energy and conservation laws; groups of motions