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02762nam a22004095a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9783037195680 |
| 100 1# - MAIN ENTRY--AUTHOR NAME |
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| Personal name |
Christodoulou, Demetrios, |
| 245 10 - TITLE STATEMENT |
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| Title |
The Formation of Black Holes in General Relativity |
| Statement of responsibility, etc |
Demetrios Christodoulou |
| 260 3# - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication |
Zuerich, Switzerland : |
| Name of publisher |
European Mathematical Society Publishing House, |
| Year of publication |
2009 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Number of Pages |
1 online resource (598 pages) |
| 490 0# - SERIES STATEMENT |
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| Series statement |
EMS Monographs in Mathematics (EMM) |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
In 1965 Penrose introduced the fundamental concept of a trapped surface, on the basis of which he proved a theorem which asserts that a spacetime containing such a surface must come to an end. The presence of a trapped surface implies, moreover, that there is a region of spacetime, the black hole, which is inaccessible to observation from infinity. A major challenge since that time has been to find out how trapped surfaces actually form, by analyzing the dynamics of gravitational collapse. The present monograph achieves this aim by establishing the formation of trapped surfaces in pure general relativity through the focusing of gravitational waves. The theorems proved in the present monograph constitute the first foray into the long-time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitable neighborhood of trivial data. The main new method, the short pulse method, applies to general systems of Euler–Lagrange equations of hyperbolic type, and provides the means to tackle problems which have hitherto seemed unapproachable. This monograph will be of interest to people working in general relativity, geometric analysis, and partial differential equations. |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
General relativity |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Relativity and gravitational theory |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Partial differential equations |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Global analysis, analysis on manifolds |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Christodoulou, Demetrios, |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
https://doi.org/10.4171/068 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
http://www.ems-ph.org/img/books/christodoulou3_mini.jpg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
E-BOOKS |
| 264 #1 - |
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Zuerich, Switzerland : |
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European Mathematical Society Publishing House, |
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2009 |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 347 ## - |
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text file |
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PDF |
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rda |
