On Uniqueness in the Large of Solutions of Einsteins Equations (Strong Cosmic Censorship)

In the last ten years or so a considerable amount of work has been done to transform general relativlity into a mathematically rigorous disciple. With the work of Christodoulou and Klainerman on stability of Minkowski space-time, the work of Schoen and Yau on the positive energy theorem, the work of Christodoulou on the gravetational collapse, the work of Newman and others, on Yau's Lorentzian splitting conjecture, the work of Bartnick on maximal hypersurfaces in Lorentzian manifolds, general relativity has become a respectiable field of mathematical research.

Introduction -- "Highly symmetric" space-times -- U(l) x Z7(l) stability of the (1,1,-i) Kasner metrics -- Appendix A: on the "hyperboloidal initial data", and Penrose conditions -- Appendix B: on a class of U(l) x U(l) symmetric metrics found by V. Moncrief -- Appendix C: maximal developments -- Appendix D: some flat metrics with Cauchy horizons -- Appendix E: on a wave equation with a singular source -- Appendix F: bifucatng geodesies in C,Q, 0 < a < 1, metrics -- Bibliography.