
Abstract 
1 
Introduction to Kinetic Theory 

1.1 
The relativistic Boltzmann
equation 

1.2 
The Vlasov–Maxwell and Vlasov–Poisson systems 

1.3 
The
Nordström–Vlasov system 
2 
The Einstein–Vlasov System 
3 
The
AsymptoticallyFlat Cauchy Problem: SphericallySymmetric Solutions 

3.1 
Set
up and choice of coordinates 

3.2 
Local existence and the continuation
criterion 

3.3 
Global existence for small initial data 

3.4 
Global existence
for special classes of large initial data 

3.5 
On global existence for general
initial data 

3.6 
Selfsimilar solutions 

3.7 
Formation of black holes and
trapped surfaces 

3.8 
Numerical studies on critical collapse 

3.9 
The charged
case 
4 
The Cosmological Cauchy Problem 

4.1 
Spatiallyhomogeneous
spacetimes 

4.2 
Inhomogeneous models with symmetry 

4.3 
Cosmological models
with a scalar field 

4.4 
Stability of some cosmological models 
5 
Stationary
AsymptoticallyFlat Solutions 

5.1 
Existence of sphericallysymmetric
static solutions 

5.2 
The structure of sphericallysymmetric steady
states 

5.3 
Buchdahltype inequalities 

5.4 
Stability 

5.5 
Existence of axisymmetric
static solutions 
6 
Acknowledgements 

References 

Updates 

Figures 

Tables 