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662 ReferencesLun, A.W.C., McIntosh, C.B.G. and Singleton, D.B. (1988). Expanding algebraicallydegenerate vacuum spaces with homothetic motions. GRG 20, 745. See §§11.4,17.3.Maartens, R., Lesame, W.M. and Ellis, G.F.R. (1998). Newtonian-like and anti-Newtonian universes.CQG 15, 1005.See §6.2.Maartens, R.and Maharaj, S.D.(1991).Conformal symmetries of pp-waves. CQG 8,503.See §§24.5, 35.4.Maartens, R., Maharaj, S.D. and Tupper, B.O.J. (1995). General solution and classificationof conformal motions in static spherical spacetimes. CQG 12, 2577. See§35.4.Maartens, R.and Nel, S.D.(1978).Decomposable differential operators in a cosmologicalcontext.Commun. Math. Phys. 59, 273.See §§14.1, 14.3, 14.4.MacCallum, M.A.H. (1971). A class of homogeneous cosmological models. III.Asymptotic behaviour.Commun. Math. Phys. 20, 57.See §13.3.MacCallum, M.A.H. (1972). On ‘diagonal’ Bianchi cosmologies. Phys. Lett. A 40, 385.See §13.2.MacCallum, M.A.H. (1973). Cosmological models from a geometric point of view,in Cargése lectures in physics, vol.6, ed.E.Schatzman, page 61 (Gordon andBreach, New York).See §13.2.MacCallum, M.A.H. (1979a). Anisotropic and inhomogeneous relativistic cosmologies,in General relativity: an Einstein centenary survey, eds.S.W.Hawking and W.Israel, page 533 (Cambridge Univ.Press, Cambridge).See§13.2.MacCallum, M.A.H. (1979b).The mathematics of anisotropic cosmologies, in Proceedingsof the first international Cracow school of cosmology, ed.M.Demiański,page 1 (Springer-Verlag, Berlin).See §13.2.MacCallum, M.A.H. (1980). Locally isotropic spacetimes with non-null homogeneoushypersurfaces, in Essays in general relativity: a festschrift for Abraham Taub, ed.F.J. Tipler, page 121 (Academic Press, New York).See §§11.2, 13.1.MacCallum, M.A.H. (1983). Static and stationary ‘cylindrically symmetric’ Einstein–Maxwell fields and the solutions of Van den Bergh and Wils. J. Phys. A 16, 3853.See §22.2.MacCallum, M.A.H. (1990). On “generalized Kasner” metrics and the solutions ofHarris and Zund. Wiss. Zeitschr. FSU Jena, Math.-Naturw. Reihe 39, 102. See§17.3.MacCallum, M.A.H. (1996).Computer algebra and applications in relativity and gravity,in Recent developments in gravitation and mathematical physics: Proceedingsof the first Mexican school on gravitation and mathematical physics, eds.A.Macias, T.Matos, O.Obregon and H.Quevedo, page 3 (World Scientific,Singapore).See Ch.9.MacCallum, M.A.H. (1998). Hypersurface-orthogonal generators of an orthogonallytransitive G 2I, topological identifications, and axially and cylindrically symmetricspacetimes.GRG 30, 131.See §§17.1, 22.1.MacCallum, M.A.H. (1999). On the classification of the real four-dimensional Liealgebras, in On Einstein’s path: Essays in honor of Engelbert Schucking, ed.A.L.Harvey, page 299 (Springer Verlag, New York).See §8.2.MacCallum, M.A.H. and Åman, J.E. (1986). Algebraically independent n-th derivativesof the Riemannian curvature spinor in a general spacetime. CQG 3, 1133.See §9.3.MacCallum, M.A.H. and Santos, N.O. (1998). Stationary and static cylindricallysymmetric Einstein spaces of the Lewis form.CQG 15, 1627.See §22.2.MacCallum, M.A.H. and Siklos, S.T.C. (1980). Homogeneous and hypersurfacehomogeneousalgebraically special Einstein spaces. GR9 Abstracts 1, 54. See§13.3.

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