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Extensions of the Stability Theorem of the Minkowski Space in General Relativity

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Author(s): Lydia Bieri ; Nina Zipser
Series: AMS/IP Studies in Advanced Mathematics 45
Publisher: AMS
Year: 2009

Language: English

Cover
Title page
General table of contents
General introduction
Solutions of the Einstein vacuum equations, by Lydia Bieri
Dedication
Abstract
Acknowledgments
Contents
Introduction
Preliminary tools
Main theorem
Comparison
Error estimates
Second fundamental form ?: estimates for the components of ?
Second fundamental form ?: estimating ? and ?
Uniformization theorem
? on the surfaces ?-changes in ? and ?
The last slice
Curvature tensor-components
Uniformation theorem: standard situation, cases 1 and 2
Bibliography
Index
Solutions of the Einstein-Maxwell equations, by Nina Zipser
Abstract
Acknowledgments
Contents
Introduction
Norms and notation
Existence theorem
The electromagnetic field
Error estimates for ?
Interior estimates for ?
Comparison theorem for the Weyl tensor
Error estimates for ?
Second fundamental form
The lapse function
Optical function
Conclusion
Bibliography
Back Cover