GR11 · Advanced & frontier
A 23-module path through gr11 · advanced & frontier, in study order from foundations to the frontier.
Modules
- ADM 3+1 Decomposition of Spacetime
- Gauss-Codazzi-Mainardi Equations
- Hamiltonian and Momentum Constraints
- ADM Hamiltonian Formulation of General Relativity
- ADM Mass, Momentum and Angular Momentum
- Initial-Value (Cauchy) Problem in General Relativity
- Conformal Method for Constraint Solving
- Harmonic and Generalized Harmonic Gauge
- BSSN Formulation
- Gauge Conditions in Numerical Relativity
- Numerical Relativity and Binary Black Hole Mergers
- Black Hole Excision and Puncture Methods
- Apparent Horizons and Horizon Finders
- Isolated and Dynamical Horizons
- Gravitational Wave Extraction and Waveform Modeling
- Solution-Generating Techniques
- Ernst Equation and Stationary Axisymmetric Solutions
- AdS/CFT Correspondence
- Holographic Principle
- Approaches to Quantum Gravity
- Loop Quantum Gravity and Spin Networks
- Ashtekar Variables and Connection Dynamics
- Wheeler-DeWitt Equation