Contents

626 ReferencesCharach, Ch.and Malin, S.(1979).Cosmological model with gravitational and scalarwaves.PRD 19, 1058.See §23.3.Chatterjee, S.and Banerji, S.(1979).Axially symmetric stationary electrovac solutions.GRG 11, 79.See §21.1.Chau, Ling-Lie and Ge, Mo-Lin (1989).Kac–Moody algebra from infinitesimalRiemann–Hilbert transform.JMP 30, 166.See §10.7.Chaudhuri, S.and Das, K.C.(1996).On the structure and multipole moments of axiallysymmetric stationary metrics.Pramana, J. Phys. 46, 17.See §18.8.Chazy, J.(1924).Sur la champ de gravitation de deux masses fixes dans la théorie dela relativité.Bull. Soc. Math. France 52, 17.See §20.2.Chinea, F.J. (1983). New Bäcklund transformations and superposition principle forgravitational fields with symmetries.Phys. Rev. Lett. 50, 221.See §34.7.Chinea, F.J. (1984). Vector Bäcklund transformations and associated superpositionprinciple, in Solutions of Einstein’s equations: Techniques and results.Lecturenotes in physics, vol.205, eds.C.Hoenselaers and W.Dietz, page 55 (Springer,Berlin).See §34.7.Chinea, F.J. (1993).A differentially rotating perfect fluid.CQG 10, 2539.See §21.2.Chinea, F.J. and González-Romero, L.M. (1990). Interior gravitational field of a stationary,axially symmetric perfect fluid in irrotational motion. CQG 7, L99.See §21.2.Chinea, F.J. and González-Romero, L.M. (1992). A differential form approach for rotatingperfect fluids in general relativity.CQG 9, 1271.See §§19.6, 21.2.Chitre, D.M. (1980). Stationary, axially symmetric solutions of Einstein’s equations, inGravitation, quanta and the universe, eds.A.R.Prasanna, J.V. Narlikar and C.V.Vishveshwara, page 69 (Wiley Eastern Ltd., New Delhi).See §34.3.Chitre, D.M., Güven, R.and Nutku, Y.(1975).Static cylindrically symmetric solutionsof the Einstein–Maxwell equations.JMP 16, 475.See §22.2.Choquet-Bruhat, Y., DeWitt-Morette, C. and Dillard-Bleick, M. (1991). Analysis,manifolds and physics: Basics (North Holland Publ.Co., Amsterdam).See §§2.1, 35.4.Christoffel, E.B. (1869).Über die transformation der homogenen Differentialausdrückezweiten Grades.Crelle’s J. 70, 46.See §§9.1, 9.2.Chruściel, P.T. (1991). Semi-global existence and convergence of solutions of theRobinson–Trautman (2-dimensional Calabi) equation. Commun. Math. Phys.137, 289.See §28.1.Churchill, R.V. (1932). Canonical forms for symmetric linear vector functions in pseudoeuclideanspace.Trans. Amer. Math. Soc. 34, 784.See §5.1.Clarke, C.J.S. (1970). On the isometric global embedding of pseudo-Riemannian manifolds.Proc.Roy. Soc. Lond. A 314, 417.See §37.1.Clarke, C.J.S. and Dray, T.(1987).Junction conditions for null hypersurfaces.CQG 4,265.See §3.8.Clément, G.(2000). Generating rotating Einstein–Maxwell fields. Ann. Phys.(Germany) 9, SI42.See §34.1.Cocke, W.J. (1989). Table for constructing the spin coefficients in general relativity.PRD 40, 650.See §7.1.Cohn, P.M. (1957).Lie groups (Cambridge Univ.Press, Cambridge).See §8.1.Coley, A.A. (1991). Fluid spacetimes admitting a conformal Killing vector parallel tothe velocity vector.CQG 8, 955.See §35.4.Coley, A.A. (1997a).Kinematic self-similarity.CQG 14, 87.See §35.4.Coley, A.A. (1997b). Self-similarity and cosmology, in Proceedings of the 6th Canadianconference on general relativity and relativistic astrophysics.Fields InstituteCommunications, vol.15, eds.S.Braham, J.Gegenberg and R.McKellar, page 19(Amer.Math.Soc., Providence, Rhode Island).See §11.3.