Preliminary

• Causal Structure of Spacetimes
  • A Global Structure?
    • The Basic Definitions on Global Structure
  • Causal Structure
    • Domain of Influence
    • Slices
    • Domain of Dependence
• The Physical Significance of Curvature
  • Raychaudhuri Equation
  • Null Curve
  • Energy Condition
  • Conjugate Points
  • Trapped Surfaces
• Singularity Theorems
  • About Singularity
  • Singularity Theorems
  • Application to Black Holes