Introduction to 3 1 Numerical Relativity 1st Edition by Miguel Alcubierre ISBN 0199205671 9780199205677

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Product details:

ISBN 10: 0199205671 

ISBN 13: 9780199205677 

Author: Miguel Alcubierre 

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.

Table of contents:

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

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Tags: Miguel Alcubierre, Introduction, 3 1, Numerical Relativity