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Introduction to 3+1 Numerical Relativity
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Introduction to 3+1 Numerical Relativity

Miguel Alcubierre

Abstract

This book introduces the modern field of 3+1 numerical relativity. It has been written in a way as to be as self-contained as possible, and 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 b ... More

Keywords: relativistic astrophysical systems, dynamical gravitational fields, initial data problem, hyperbolic reductions, gauge conditions, black hole space-times, relativistic hydrodynamics, gravitational wave extraction

Bibliographic Information

Print publication date: 2008 Print ISBN-13: 9780199205677
Published to Oxford Scholarship Online: September 2008 DOI:10.1093/acprof:oso/9780199205677.001.0001

Authors

Affiliations are at time of print publication.

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