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References 687White, A.J. and Collins, C.B. (1984). A class of shear-free perfect fluids in generalrelativity.I.JMP 25, 332.See §6.2.Whitman, P.G. (1983). Solutions to the general-relativistic Tolman–Wyman equation.PRD 27, 1722.See §16.1.Whittaker, J.M. (1968). An interior solution in general relativity. Proc. Roy. Soc. Lond.A 306, 1.See §16.1.Wils, P.(1989a).Homogeneous and conformally Ricci flat pure radiation fields.CQG6, 1243.See §§12.5, 26.1, 37.5.Wils, P.(1989b).A new Painlevé solution of the Ernst equations. Phys. Lett. A 135,425.See §13.3.Wils, P.(1989c).Painlevé solutions in general relativity.CQG 6, 1231.See §22.4.Wils, P.(1990).Aligned twisting pure radiation fields of Petrov type D do not exist.CQG 7, 1905.See §30.7.Wils, P.(1991).Inhomogeneous perfect fluid cosmologies with a non-orthogonallytransitive symmetry group.CQG 8, 361.See §§23.1, 23.3.Wils, P.and Van den Bergh, N.(1985).A case of dual interpretation of Einstein–Maxwell fields.GRG 17, 381.See §22.2.Wils, P.and Van den Bergh, N.(1990).Petrov type D pure radiation fields of Kundt’sclass.CQG 7, 577.See §31.6.Winicour, J.(1975).All stationary axisymmetric rotating dust metrics.JMP 16, 1806.See §21.2.Wolf, T.(1986a).About vacuum solutions of Einstein’s field equations with flatthree-dimensional hypersurfaces.JMP 27, 2354.See §36.2.Wolf, T.(1986b). A class of perfect fluid metrics with flat three-dimensionalhypersurfaces.JMP 27, 2340.See §§13.4, 14.4, 21.2, 36.2.Wolf, T.(1998).Structural equations for Killing tensors of arbitrary rank.Comp. Phys.Comp. 115, 316.See §35.3.Woodhouse, N.M.J. (1975). Killing tensors and the separation of the Hamilton–Jacobiequation.Commun. Math. Phys. 44, 9.See §35.3.Woodhouse, N.M.J. and Mason, L.J. (1988).The Geroch group and non-Hausdorfftwistor spaces.Nonlinearity 1, 73.See §34.7.Woolley, M.L. (1973). On the role of the Killing tensor in the Einstein–Maxwell theory.Commun. Math. Phys. 33, 135.See §34.1.Wu, Yongshi and Ge, Molin (1983).A new approach to the algebraic structure in stationaryaxially symmetric gravity, in Proceedings of the third Marcel Grossmannmeeting on general relativity.Pt.B., ed.Hu Ning, page 1067 (North-Holland,Amsterdam).See §34.7.Wu, Yongshi, Ge, Molin and Hou, Boy (1983).Infinitely conserved currents and hiddensymmetry algebra related to the Belinskii–Zakharov’s formulation of gravity, inProceedings of the third Marcel Grossmann meeting on general relativity, Pt.A,ed.Hu Ning, page 367 (North-Holland, Amsterdam).See §34.5.Wu, Zhong Chao (1981).Self-similar cosmological models.GRG 13, 625.See §23.1.Wyman, M.(1946).Equations of state for radially symmetric distributions of matter.Phys. Rev. 70, 396.See §§15.6, 16.2.Wyman, M.(1949).Radially symmetric distributions of matter.Phys. Rev. 75, 1930.See §16.1.Wyman, M.(1976).Jeffery-Williams lecture 1976: Nonstatic radially symmetricdistributions of matter.Can. Math. Bull. 19, 343.See §16.2.Wyman, M.and Trollope, R.(1965).Null fields in Einstein–Maxwell field theory.JMP6, 1965.See §31.6.Xanthopoulos, B.C. (1981). Exterior spacetimes for rotating stars. JMP 22, 1254. See§34.3.Xanthopoulos, B.C. (1983a).Local toroidal black holes that are static and axisymmetric.Proc.Roy. Soc. London A 388, 117.See §20.2.

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