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Introduction to 3+1 Numerical Relativity$
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Miguel Alcubierre

Print publication date: 2008

Print ISBN-13: 9780199205677

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199205677.001.0001

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EXAMPLES OF NUMERICAL SPACETIMES

EXAMPLES OF NUMERICAL SPACETIMES

Chapter:
(p.357) 10 EXAMPLES OF NUMERICAL SPACETIMES
Source:
Introduction to 3+1 Numerical Relativity
Author(s):

Miguel Alcubierre

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199205677.003.0010

This chapter discusses the application of the techniques of numerical relativity to some simple spacetimes. It considers three different types of example, starting from 1+1 ‘toy’ relativity, and moving on to the case of spherical and axial symmetry. It discusses some of the special problems arising in each case, such as the issue of gauge shocks in the 1+1 case, and the regularization of the equations in both spherical and axial symmetry. It also gives examples of numerical simulations of simple physical systems, such as the evolution of Schwarzschild, the collapse of a scalar field, and the evolution of a Brill wave spacetime.

Keywords:   1+1 relativity, Gauge shocks, spherical symmetry, axial symmetry, Brill waves

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