Introduction to 3+1 Numerical Relativity

Author:   Miguel Alcubierre (Department of Gravitation and Mathematical Physics, Institute of Nuclear Science, Universidad Nacional Autonoma de Mexico)
Publisher:   Oxford University Press
Volume:   140
ISBN:  

9780199656158


Pages:   464
Publication Date:   05 July 2012
Format:   Paperback
Availability:   To order   Availability explained
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Introduction to 3+1 Numerical Relativity


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Overview

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.

Full Product Details

Author:   Miguel Alcubierre (Department of Gravitation and Mathematical Physics, Institute of Nuclear Science, Universidad Nacional Autonoma de Mexico)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   140
Dimensions:   Width: 15.70cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.712kg
ISBN:  

9780199656158


ISBN 10:   0199656150
Pages:   464
Publication Date:   05 July 2012
Audience:   College/higher education ,  Postgraduate, Research & Scholarly ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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 References Index

Reviews

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


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


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


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


Author Information

Miguel Alcubierre, Department of Gravitation and Mathematical Physics, Institute of Nuclear Science, Universidad Nacional Autonoma de Mexico

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