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.
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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