Introduction to 3+1 Numerical Relativity
Series: International Series of Monographs on Physics; 140;
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Product details:
- Publisher OUP Oxford
- Date of Publication 10 April 2008
- ISBN 9780199205677
- Binding Hardback
- No. of pages460 pages
- Size 240x165x30 mm
- Weight 890 g
- Language English
- Illustrations 68 line drawings 0
Categories
Short description:
This book is a self-contained introduction to the field of numerical relativity. Starting from basic general relativity, it introduces all the concepts and tools necessary for the fully relativistic simulation of astrophysical systems with strong and dynamical gravitational fields.
MoreLong description:
This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.
An excellent book, and a good starting point for those making an effort to enter the field.
Table of Contents:
Brief Review of General Relativity
The 3+1 Formalism
Initial Data
Gauge Conditions
Hyperbolic Reductions of the Field Equations
Evolving Black Hole Spacetimes
Relativistic Hydrodynamics
Gravitational Wave Extraction
Numerical Methods
Examples of Numerical Spacetimes
Total Mass and Momentum in General Relativity
Spacetime Christoffel Symbols in 3+1 Language
BSSNOK with Natural Conformal Rescaling
Spin-weighted Spherical Harmonics
References
Index
