Introduction to 3+1 Numerical Relativity
Seiten
2008
Oxford University Press (Verlag)
978-0-19-920567-7 (ISBN)
Oxford University Press (Verlag)
978-0-19-920567-7 (ISBN)
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.
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.
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.
Professor Miguel Alcubierre Department of Gravitation and Mathematical Physics Institute of Nuclear Science Universidad Nacional Autonoma de Mexico
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
Erscheint lt. Verlag | 29.5.2008 |
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Reihe/Serie | International Series of Monographs on Physics ; Vol.140 |
Zusatzinfo | 68 line drawings |
Verlagsort | Oxford |
Sprache | englisch |
Maße | 165 x 240 mm |
Gewicht | 890 g |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 0-19-920567-1 / 0199205671 |
ISBN-13 | 978-0-19-920567-7 / 9780199205677 |
Zustand | Neuware |
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