Introduction to 3+1 Numerical Relativity

Paperback | August 1, 2012

byMiguel Alcubierre

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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 conceptsand 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 chapterwith 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.

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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 conceptsand tools necessary for the fully consistent...

Miguel Alcubierre is in the Department of Gravitation and Mathematical Physics at the Institute of Nuclear Science at the Universidad Nacional Autonoma de Mexico.
Format:PaperbackDimensions:464 pages, 9.21 × 6.14 × 0.07 inPublished:August 1, 2012Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199656150

ISBN - 13:9780199656158

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Table of Contents

1. Brief Review of General Relativity2. The 3+1 Formalism3. Initial Data4. Gauge Conditions5. Hyperbolic Reductions of the Field Equations6. Evolving Black Hole Spacetimes7. Relativistic Hydrodynamics8. Gravitational Wave Extraction9. Numerical Methods10. Examples of Numerical SpacetimesA. Total Mass and Momentum in General RelativityB. Spacetime Christoffel Symbols in 3+1 LanguageC. BSSNOK with Natural Conformal RescalingD. Spin-weighted Spherical HarmonicsReferencesIndex

Editorial Reviews

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