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On uniqueness in the large of solutions of Einstein's equations ("strong cosmic censorship")

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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.

Author(s): Piotr T ChrusĖciel
Series: Proceedings of the Centre for Mathematics and Its Applications, Australian National University 27
Edition: 1
Publisher: Centre for Mathematics and its Applications, Australian National University
Year: 1991

Language: English
Commentary: Made from the PDF at: http://maths.anu.edu.au/research/symposia-proceedings/uniqueness-large-solutions-einsteins-equations-strong-cosmic
Pages: 136
City: Canberra

Contents......Page 5
Chapter 1 Introduction......Page 7
Chapter 2 "Highly symmetric" space-times......Page 53
Chapter 3 U(l) x U(l) stability of the (2/3,2/3, -1/3)Kasner metrics.......Page 72
Appendix A On the "hyperboloidal initial data", and Penrose conditions .......Page 91
Appendix B On a class of U(l) x U(l) symmetric metrics found by V. Moncrief.......Page 98
Appendix C Maximal developments......Page 110
Appendix D Some flat metrics with Cauchy horizons.......Page 118
Appendix E On a wave equation with a singular sourcee......Page 121
Appendix F Bifurcating geodesics......Page 123