
Abstract 
1 
Introduction 
2 
General Background 

2.1 
Isolated systems 

2.2 
The emergence of
the current picture 

2.3 
Asymptotically flat spacetimes 

2.4 
Example: Minkowski
space 

2.5 
Going further 
3 
The Regular Conformal Field Equations 

3.1 
General
properties of the conformal field equations 

3.2 
The reduction process for the
conformal field equations 

3.3 
Initial value problems 

3.4 
Hyperboloidal initial
data 

3.5 
Spacelike infinity 

3.6 
Going further 
4 
Numerical Issues 

4.1 
Why use
the conformal method for numerical relativity? 

4.2 
Construction of initial
data 

4.3 
Evolution equations 

4.4 
Some numerical results 

4.5 
Problems for future
considerations 
5 
Acknowledgments 
6 
Appendix: Reduction of the Conformal
Field Equations 
7 
Appendix: Conformal Rescalings and Curvature 

References 

Footnotes 

Figures 