Introduction to 3+1 Numerical Relativity

Miguel Alcubierre (Autor)

Buch | Softcover

464 Seiten

2012
Oxford University Press (Verlag)
978-0-19-965615-8 (ISBN)

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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.

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	5.7.2012
Reihe/Serie	International Series of Monographs on Physics ; 140
Zusatzinfo	68 b/w line drawings
Verlagsort	Oxford
Sprache	englisch
Maße	157 x 235 mm
Gewicht	712 g
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
ISBN-10	0-19-965615-0 / 0199656150
ISBN-13	978-0-19-965615-8 / 9780199656158
Zustand	Neuware