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

### About this Title

**Lydia Bieri**, *Harvard University, Cambridge, MA* and **Nina Zipser**, *Harvard University, Cambridge, MA*

Publication: AMS/IP Studies in Advanced Mathematics

Publication Year:
2009; Volume 45

ISBNs: 978-0-8218-4823-4 (print); 978-1-4704-1747-5 (online)

DOI: https://doi.org/10.1090/amsip/045

MathSciNet review: MR2531716

MSC: Primary 83C05; Secondary 53C50, 53C80

### Table of Contents

**Front/Back Matter**

**Solutions of the Einstein vacuum equations, by Lydia Bieri **

- Introduction
- Preliminary tools
- Main theorem
- Comparison
- Error estimates
- Second fundamental form $k$: estimates for the components of $k$
- Second fundamental form ${\mathbf {\chi }}$: estimating ${\mathbf {\chi }}$ and ${\mathbf {\zeta }}$
- Uniformization theorem
- $\boldsymbol {\chi }$ on the surfaces $\boldsymbol {S}$-changes in $\boldsymbol {r}$ and $\boldsymbol {s}$
- The last slice
- Curvature tensor-components
- Uniformation theorem: standard situation, cases 1 and 2

**Solutions of the Einstein-Maxwell equations, by Nina Zipser **