GR10 · Causal structure & singularities
A 27-module path through gr10 · causal structure & singularities, in study order from foundations to the frontier.
Modules
- Causal Structure of Spacetime
- Null Geodesics and Light Cones
- Chronological and Causal Futures and Pasts
- Achronal Sets and Edges
- Domain of Dependence and Cauchy Horizons
- Global Hyperbolicity
- Cauchy Surfaces
- Causality Conditions Hierarchy
- Conformal Transformations and Causal Invariance
- Penrose-Carter Conformal Diagrams
- Conformal Infinity and Asymptotic Structure
- Asymptotic Flatness
- Null Infinity (Scri)
- Geodesic Congruences and Expansion
- Raychaudhuri Equation
- Focusing Theorem and Conjugate Points
- Energy Conditions
- Trapped Surfaces
- Penrose Singularity Theorem
- Hawking Singularity Theorem
- Hawking-Penrose Singularity Theorem
- Geodesic Incompleteness and Singularities
- Curvature Singularities and Classification
- Weak Cosmic Censorship
- Strong Cosmic Censorship
- Naked Singularities
- Cauchy Horizon Instability