Introduction to 3+1 Numerical Relativity

• Self-contained and comprehensive introduction to the field of numerical relativity.
• Discusses recent developments in the field, including simulation of black hole space-times.
• Discusses several alternative formulations of the evolution equations.
• Includes an introduction to relativistic hydrodynamics for non-experts.
• Discusses techniques to extract gravitational wave information from numerical simulation with applications to gravitational wave detection.

Readership: Graduate students and researchers in physics, general relativity, and astrophysics.

Miguel Alcubierre, Department of Gravitation and Mathematical Physics, Institute of Nuclear Science, Universidad Nacional Autonoma de Mexico

Miguel Alcubierre, Department of Gravitation and Mathematical Physics, Institute of Nuclear Science, Universidad Nacional Autonoma de Mexico

"An excellent book, and a good starting point for those making an effort to enter the field. " - Mathematical Reviews

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