Conformal Infinity
The notion of conformal infinity has a long history within the research in Einstein's theory of gravity. Today, 'conformal infinity' is related to almost all other branches of research in general relativity, from quantisation procedures to abstract mathematical issues to numerical app...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2004-01-01
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| Series: | Living Reviews in Relativity |
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| Online Access: | http://www.livingreviews.org/lrr-2004-1 |
| _version_ | 1819143501391069184 |
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| author | Frauendiener Jörg |
| author_facet | Frauendiener Jörg |
| author_sort | Frauendiener Jörg |
| collection | DOAJ |
| description | The notion of conformal infinity has a long history within the research in Einstein's theory of gravity. Today, 'conformal infinity' is related to almost all other branches of research in general relativity, from quantisation procedures to abstract mathematical issues to numerical applications. This review article attempts to show how this concept gradually and inevitably evolved from physical issues, namely the need to understand gravitational radiation and isolated systems within the theory of gravitation, and how it lends itself very naturally to the solution of radiation problems in numerical relativity. The fundamental concept of null-infinity is introduced. Friedrich's regular conformal field equations are presented and various initial value problems for them are discussed. Finally, it is shown that the conformal field equations provide a very powerful method within numerical relativity to study global problems such as gravitational wave propagation and detection. |
| first_indexed | 2024-12-22T12:27:15Z |
| format | Article |
| id | doaj.art-42eff07912bd46c3a9548028fb01ade8 |
| institution | Directory Open Access Journal |
| issn | 1433-8351 |
| language | English |
| last_indexed | 2024-12-22T12:27:15Z |
| publishDate | 2004-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Living Reviews in Relativity |
| spelling | doaj.art-42eff07912bd46c3a9548028fb01ade82022-12-21T18:25:46ZengSpringerOpenLiving Reviews in Relativity1433-83512004-01-0171Conformal InfinityFrauendiener JörgThe notion of conformal infinity has a long history within the research in Einstein's theory of gravity. Today, 'conformal infinity' is related to almost all other branches of research in general relativity, from quantisation procedures to abstract mathematical issues to numerical applications. This review article attempts to show how this concept gradually and inevitably evolved from physical issues, namely the need to understand gravitational radiation and isolated systems within the theory of gravitation, and how it lends itself very naturally to the solution of radiation problems in numerical relativity. The fundamental concept of null-infinity is introduced. Friedrich's regular conformal field equations are presented and various initial value problems for them are discussed. Finally, it is shown that the conformal field equations provide a very powerful method within numerical relativity to study global problems such as gravitational wave propagation and detection.http://www.livingreviews.org/lrr-2004-1Mathematical Relativity |
| spellingShingle | Frauendiener Jörg Conformal Infinity Living Reviews in Relativity Mathematical Relativity |
| title | Conformal Infinity |
| title_full | Conformal Infinity |
| title_fullStr | Conformal Infinity |
| title_full_unstemmed | Conformal Infinity |
| title_short | Conformal Infinity |
| title_sort | conformal infinity |
| topic | Mathematical Relativity |
| url | http://www.livingreviews.org/lrr-2004-1 |
| work_keys_str_mv | AT frauendienerjorg conformalinfinity |