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| The Evolution Problem in General Relativity | Buy a book...
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| Author(s): | S. Klainerman and F. Nicolò |
| Publisher: | Birkhäuser |
| ISBN: | 0817642544 |
| Format: | hardback |
| 385pp | |
| Price: | €83 |
| Review Date: | 23 April 2003 |
| Review: | The main purpose of this book is to revisit the global stability of Minkowski space as set out by D. Chrostodoulou and S. Klainerman (1993). Here the authors provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzchild spacetime. There are chapters on: an introduction to differential geometry and Einstein equations; analytic methods in the study of the initial value problem; definitions and results; estimates for the connection coefficients; estimates for the Reimann curvature tensor; the error estimates; the initial hypersurface and the last slice; and the consequences of the main theorem with a rigorous derivation of the Bondi mass law and a discussion of the asymptotic properties of spacetime. |