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ELLIS: Exact and inexact solutions of the Einstein field equations 37 REFERENCES B. Allen and J. Simon (1992): Nature 357, 19. J. Bardeen (1980): Phys Rev D 22, 1881. S. Bildhauer and T. Futamase (1991): Gen Rel Grav 23, 1251. R. H. Boyer (1969): Proc Roy Soc A311 245. H. Buchdahl (1959), Phys Rev 116 1027. C. J. S. Clarke (1992): The analysis of spacetime singularities Cambridge University Press, Cambridge [to appear]. C. J. S. Clarke, G. F. R. Ellis and J. A. Vickers (1990): Class Qu Grav 7, 1.

Hobill (Eds) (1989): Frontiers in numerical relativity. Cambridge University Press, Cambridge. F. J. Flaherty (ed) (1984): Asymptotic Behaviour of Mass and Spacetime Geometry. Springer Lecture Notes in Physics 202. Springer, Berlin. A. H. Friedrich (1990). In General Relativity and Gravitation Ed. E. N. F. Bartlett and W. Wyss. Cambridge University Press, Cambridge, 41. G. W. Gibbons, S. W. Hawking and S. T. C. Siklos (eds) (1983): The very early universe. Cambridge University Press, Cambridge.

Exact and Inexact Solutions of the Einstein Field Equations GEORGE F. R. ELLIS 1 INTRODUCTION There has been a tremendous growth in the understanding of General Relativity and of its relation to experiment in the past 30 years, resulting in its transformation from a subject in the doldrums on the periphery of theoretical physics, to a subject with a considerable experimental wing and and many recognised major theoretical achievements to its credit. The main areas of development have been, * solar system tests of gravitational theories, * gravitational radiation theory and detectors, * black holes and gravitational collapse, * cosmology and the dynamics of the early universe.

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Chaotic streamlines in convective cells by Chernikov, Schmidt.

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