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Zbl 0596.53021
Maartens, R.; Maharaj, S.D.
Conformal Killing vectors in Robertson-Walker spacetimes. (English)
[J] Classical Quantum Gravity 3, 1005-1011 (1986). ISSN 0264-9381; ISSN 1361-6382/e

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.
[C.S.Sharma]

MSC 2000:: *53B30 Lorentz metrics, indefinite metrics
53A30 Conformal differential geometry
83C40 Groups of motions, etc.

Keywords: Robertson-Walker spacetimes; conformally flat space-times; Killing vector fields; null geodesic equation; photon Liouville equation

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