Contents

References 651Kaigorodov, V.R. (1971). Petrov classification and recurrent spaces (in Russian), inGravitatsiya, page 52 (Nauk dumka, Kiev).See §35.2.Kaigorodov, V.R. and Timofeev, V.N. (1996). Algebraically special solutions of theEinstein equations R ij =6Λg ij.Grav. Cosmol. 2, 107.See §29.1.Kaliappan, P.and Lakshmanan, M.(1981).Similarity solutions for the Ernst equationswith electromagnetic fields.JMP 22, 2447.See §21.1.Kamani, D.and Mansouri, R.(1996).A new class of inhomogeneous cosmologicalsolutions.Preprint, Potsdam.See §23.3.Kammerer, J.B. (1966). Sur les directions principales du tenseur de courbure. C. R.Acad. Sci. (Paris) 263, 533.See §7.5.Kamran, N.(1988).Killing–Yano tensors and their role in separation of variables,in Proceedings of the second Canadian conference on general relativity andrelativistic astrophysics, eds.A.Coley, C.Dyer and B.O.J.Tupper, page 43(World Scientific, Singapore).See §35.3.Kantowski, R. (1966).Some relativistic cosmological models.Ph. D. thesis, Universityof Texas at Austin.See §§13.1, 14.3.Kantowski, R.and Sachs, R.K.(1966).Some spatially homogeneous anisotropicrelativistic cosmological models.JMP 7, 443.See §§13.1, 14.3.Kar, S.C. (1926). Das Gravitationsfeld einer geladenen Ebene. Phys. Zeitschr. XXVII,208.See §15.4.Karlhede, A.(1980a).On a coordinate-invariant description of Riemannian manifolds.GRG 12, 963.See §9.4.Karlhede, A.(1980b).A review of the geometrical equivalence of metrics in generalrelativity.GRG 12, 693.See §9.2.Karlhede, A.and Åman, J.E. (1979). Progress towards a solution of the equivalenceproblem in general relativity, in EUROSAM ’79: Symbolic and algebraic computation.Lecturenotes in computer science, vol.72, ed.E.Ng, page 42 (Springer,Berlin).See §9.2.Karlhede, A.and Lindström, U.(1983).Finding space-time geometries without usinga metric.GRG 15, 597.See §9.4.Karlhede, A.and MacCallum, M.A.H. (1982). On determining the isometry group ofa Riemannian space.GRG 14, 673.See §§9.4, 18.6.Karmarkar, K.R. (1948). Gravitational metrics of spherical symmetry and class one.Proc. Indian Acad. Sci. A 27, 56.See §37.3.Kasner, E.(1921).Geometrical theorems on Einstein’s cosmological equations.Amer.J. Math. 43, 217.See §§13.3, 35.2.Kasner, E.(1925).Solutions of the Einstein equations involving functions of only onevariable.Trans. A.M.S. 27, 155.See §13.3.Kastor, D.and Traschen, J.(1993).Cosmological multi-black-hole solutions.PRD 47,5370.See §21.1.Katzin, G.H.and Levine, J.(1972).Applications of Lie derivatives to symmetries,geodesic mappings, and first integrals in Riemannian spaces. Colloquium Math.26, 21.See §35.4.Katzin, G.H. and Levine, J. (1981). Geodesic first integrals with explicit path-parameterdependence in Riemannian space-times.JMP 22, 1878.See §35.4.Katzin, G.H., Levine, J. and Davis, W.R. (1969). Curvature collineations: A fundamentalsymmetry property of the space-times of general relativity defined bythe vanishing Lie derivative of the Riemann curvature tensor. JMP 10, 617. See§35.4.Kellner, A.(1975).1-dimensionale Gravitationsfelder.Ph.D.dissertation, Inst.f.Theoret.Physik Göttingen.See §§13.1, 13.3, 14.4.Kerns, R.M. and Wild, W.J. (1982a). Black hole in a gravitational field. GRG 14, 1.See §20.2.