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624 ReferencesCarminati, J.(1981).An investigation of axially symmetric electrovac solutions.GRG13, 1185.See §21.1.Carminati, J.(1987).Shear-free perfect fluids in general relativity.I.Petrov type NWeyl tensor.JMP 28, 1848.See §6.2.Carminati, J.(1988).Type-N, shear-free, perfect-fluid spacetimes with a barotropicequation of state.GRG 20, 1239.See §33.4.Carminati, J.and Cooperstock, F.I.(1983).Coordinate modelling for static axiallysymmetric electrovac metrics.J. Phys. A 16, 3867.See §21.1.Carminati, J.and Cooperstock, F.I.(1992). Herlt metrics and gravitationalelectrostaticbalance in general relativity.GRG 24, 881.See §21.1.Carminati, J.and Cyganowski, S.(1997).Shearfree perfect fluids in general relativity.IV.Petrov type III spacetimes.CQG 13, 1167.See §§6.2, 33.4.Carminati, J. and McIntosh, C.B.G. (1980). A non-static Einstein–Maxwell solution. J.Phys. A 13, 953.See §11.4.Carminati, J.and McLenaghan, R.G.(1991).Algebraic invariants of the Riemann tensorin a four-dimensional Lorentzian space.JMP 32, 3135.See §9.1.Carminati, J.and Wainwright, J.(1985).Perfect-fluid space-times with type-D Weyltensor.GRG 17, 853.See §33.3.Carot, J.(1990).Exact solutions for space-times admitting nonnull special conformalKilling vectors.GRG 22, 1135.See §35.4.Carot, J.(2000).Some developments on axial symmetry.CQG 17, 2675.See §19.1.Carot, J., Coley, A.A. and Sintes, A.M. (1996). Space-times admitting a threedimensionalconformal group.GRG 28, 311.See §§23.3, 35.4.Carot, J.and da Costa, J.(1991).Perfect fluid spacetimes admitting curvaturecollineations.GRG 23, 1057.See §35.4.Carot, J.and da Costa, J.(1993).On the geometry of warped spacetimes.CQG 10,461.See §35.1.Carot, J., Mas, L. and Sintes, A.M. (1994). Space-times admitting a three-parametersimilarity group.JMP 35, 3560.See §§23.1, 23.3.Carot, J., Senovilla, J.M.M. and Vera, R.(1999).On the definition of cylindrical symmetry.CQG16, 3025.See §22.1.Carot, J.and Sintes, A.M.(1997).Homothetic perfect fluid spacetimes.CQG 14, 1183.See §§15.7, 23.1, 23.2, 23.3.Carot, J.and Verdaguer, E.(1989).Generalised soliton solutions of the Weyl class.CQG 6, 845.See §34.5.Carr, B.J. and Coley, A.A. (1999). Self-similarity in general relativity. CQG 16, R31.See §11.3.Carr, B.J. and Verdaguer, E. (1983). Soliton solutions and cosmological gravitationalwaves. PRD 28, 2995.See §34.5.Cartan, È (1945). Les systèmes différentiels extérieurs et leurs applications géométriques(Herrmann, Paris).See §10.4.Cartan, È (1946). Leçons sur la géométrie des espaces de Riemann (Gauthier-Villars,Paris).See §9.2.Carter, B.(1968a).Hamilton–Jacobi and Schrödinger separable solutions of Einstein’sequations.Commun. Math. Phys. 10, 280.See §21.1.Carter, B.(1968b).A new family of Einstein spaces.Phys. Lett. A 26, 399. See §§15.4,20.5, 21.1, 31.5.Carter, B.(1970).The commutation property of a stationary, axisymmetric system.Commun. Math. Phys. 17, 233.See §19.1.Carter, B.(1972).Black hole equilibrium states, in Black holes (Les Houches lectures),eds.B.DeWitt and C.DeWitt, page 57 (Gordon and Breach, New York).See §§18.4, 19.2.Carter, B.and Henriksen, R.N.(1989).A covariant characterisation of kinematic selfsimilarity.Ann.de Physique 14 (colloq.1), 47.See §§11.3, 35.4.

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