Pantelis S Apostolopoulos and Michael Tsamparlis 2001 Class. Quantum Grav. 18 3775 doi:10.1088/0264-9381/18/18/301
Pantelis S Apostolopoulos and Michael Tsamparlis
Show affiliationsAll hypersurface homogeneous locally rotational symmetric spacetimes which admit conformal symmetries are determined and the symmetry vectors are given explicitly. It is shown that these spacetimes must be considered in two sets. One set containing Ellis class II and the other containing Ellis class I, III LRS spacetimes. The determination of the conformal algebra in the first set is achieved by systematizing and completing results on the determination of CKVs in 2 + 2 decomposable spacetimes. In the second set new methods are developed. The results are applied to obtain the classification of the conformal algebra of all static LRS spacetimes in terms of geometrical variables. Furthermore, all perfect fluid non-tilted LRS spacetimes which admit proper conformal symmetries are determined and the physical properties of some of them are discussed.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 18 (21 September 2001)
Received 16 February 2001
Published 5 September 2001
Pantelis S Apostolopoulos and Michael Tsamparlis 2001 Class. Quantum Grav. 18 3775
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