Introduction to 3+1 Numerical Relativity

1. Brief Review of General Relativity 2. The 3+1 Formalism 3. Initial Data 4. Gauge Conditions 5. Hyperbolic Reductions of the Field Equations 6. Evolving Black Hole Spacetimes 7. Relativistic Hydrodynamics 8. Gravitational Wave Extraction 9. Numerical Methods 10. Examples of Numerical Spacetimes A. Total Mass and Momentum in General Relativity B. Spacetime Christoffel Symbols in 3+1 Language C. BSSNOK with Natural Conformal Rescaling D. Spin-weighted Spherical Harmonics References Index