4 Numerical Issues3 The Regular Conformal Field 3.5 Space-like infinity

3.6 Going further 

Readers who are interested in obtaining information about the current status of existence theorems in general relativity are referred to Rendall's recently updated Living Reviews article [121].

Although we have restricted ourselves to the case of a vanishing cosmological constant this does not mean that other cases have not been analyzed. Friedrich [52Jump To The Next Citation Point In The Article] has shown the existence of asymptotically simple de Sitter type solutions of the Einstein-Maxwell-Yang-Mills equations and stability of de Sitter space. More recently [54], with the general version of his conformal field equations, he was able to demonstrate the existence of asymptotically simple anti-de Sitter type solutions.

Finally, it should also be mentioned that recently some work has gone into generalizing the Bondi-Sachs calculations to poly-homogeneous space-times [30, 143, 144].



4 Numerical Issues3 The Regular Conformal Field 3.5 Space-like infinity

image Conformal Infinity
Jörg Frauendiener
http://www.livingreviews.org/lrr-2000-4
© Max-Planck-Gesellschaft. ISSN 1433-8351
Problems/Comments to livrev@aei-potsdam.mpg.de