東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The Formation of Black Holes in Gene...

Christodoulou, Demetrios,

FindBook

Google Book

Amazon

博客來

The Formation of Black Holes in General Relativity

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Formation of Black Holes in General Relativity/ Demetrios Christodoulou
作者:	Christodoulou, Demetrios,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2009,
面頁冊數:	1 online resource (599 pages)
標題:	General relativity -
電子資源:	https://doi.org/10.4171/068
電子資源:	https://www.ems-ph.org/img/books/christodoulou3_mini.jpg
ISBN:	9783037195680

The Formation of Black Holes in General Relativity
Christodoulou, Demetrios,

The Formation of Black Holes in General Relativity[electronic resource] /Demetrios Christodoulou - Zuerich, Switzerland :European Mathematical Society Publishing House,2009 - 1 online resource (599 pages) - EMS Monographs in Mathematics (EMM) ;2523-5192.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037195680

Standard No.: 10.4171/068doiSubjects--Topical Terms:

3480826
General relativity

The Formation of Black Holes in General Relativity
LDR:02263nmm a22003015a 4500 001 2233186
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20090110sz fot ||| 0|eng d
020 $a 9783037195680
024 7 0 $a 10.4171/068 $2 doi
035 $a 93-091109
040 $a ch0018173
072 7 $a PHRD $2 bicssc
084 $a 83-xx $a 35-xx $a 58-xx $2 msc
100 1 $a Christodoulou, Demetrios, $e author. $3 3480825
245 1 0 $a The Formation of Black Holes in General Relativity $h [electronic resource] / $c Demetrios Christodoulou
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2009
300 $a 1 online resource (599 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Monographs in Mathematics (EMM) ; $x 2523-5192
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a 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 0 7 $a General relativity $2 bicssc $3 3480826
650 0 7 $a Relativity and gravitational theory $2 msc $3 3480827
650 0 7 $a Partial differential equations $2 msc. $3 1597893
650 0 7 $a Global analysis, analysis on manifolds $2 msc $3 3480808
856 4 0 $u https://doi.org/10.4171/068
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/christodoulou3_mini.jpg