5.1 Introduction
 5.2 Single compact stars
  5.2.1 Formalisms
  5.2.2 Rotating neutron star models
  5.2.3 Spontaneous symmetry breaking
  5.2.4 Configurations with magnetic fields
  5.2.5 Strange stars
  5.2.6 Quasiperiodic oscillations
  5.2.7 More complex configurations
 5.3 Single black holes
 5.4 Rings around black holes
 5.5 Compact star binaries
  5.5.1 Formalism
  5.5.2 Numerical procedure
  5.5.3 Neutron star binaries
  5.5.4 Extensions
 5.6 Black-hole–binary systems
  5.6.1 Digging the holes
  5.6.2 First configurations
  5.6.3 Further investigation
 5.7 Black-hole–neutron-star binaries
 5.8 Spacetimes with waves
 5.9 Hyperboloidal initial data