Vol. 4 (2001) > lrr-2001-3

doi: 10.12942/lrr-2001-3
Living Rev. Relativity 4 (2001), 3

Characteristic Evolution and Matching

1 Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Potsdam-Golm, Germany and Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

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Article Abstract

I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to current 3D codes that simulate binary black holes. A prime application of characteristic evolution is Cauchy-characteristic matching, which is also reviewed.

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Article Citation

Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Jeffrey Winicour,
"Characteristic Evolution and Matching",
Living Rev. Relativity 4,  (2001),  3. URL (cited on <date>):
http://www.livingreviews.org/lrr-2001-3

Article History

ORIGINAL http://www.livingreviews.org/lrr-1998-5
Title Characteristic Evolution and Matching
Author Jeffrey Winicour
Date accepted 5 March 1998, published 8 May 1998
UPDATE http://www.livingreviews.org/lrr-2001-3
Title Characteristic Evolution and Matching
Author Jeffrey Winicour
Date accepted 15 February 2001, published 20 March 2001
Changes Article revision adding figures and information on the use of 3D characteristic codes to simulate black holes and the use of light cone coordinates in general relativistic astrophysics.
UPDATE http://www.livingreviews.org/lrr-2005-10
Title Characteristic Evolution and Matching
Author Jeffrey Winicour
Date accepted 19 October 2005, published 8 December 2005
Changes Updated and extended review, especially Sections 3 and 5.
Number of references increased from 157 to 229.
UPDATE http://www.livingreviews.org/lrr-2009-3
Title Characteristic Evolution and Matching
Author Jeffrey Winicour
Date accepted 9 April 2009, published 16 April 2009
Changes Significantly updated previous version. About 30 references have been added. The text has been revised at several points. Added new Sections 4, 5.3 and 6.
UPDATE http://www.livingreviews.org/lrr-2012-2
Title Characteristic Evolution and Matching
Author Jeffrey Winicour
Date accepted 4 January 2012, published 25 January 2012
Changes Besides various small changes, Sections 2.1, 3.1.1, 4.2.1 and 6.2 to 6.6 are new, with 54 new references.
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