000			02762nam a22004095a 4500
001			93-091109
003			CH-001817-3
005			20170613140746.0
006			a fot ||| 0|
007			cr nn mmmmamaa
008			091109e20090110sz fot ||| 0|eng d
020			_a9783037195680
024	7	0	_a10.4171/068 _2doi
040			_ach0018173
072		7	_aPHRD _2bicssc
084			_a83-xx _a35-xx _a58-xx _2msc
100	1		_aChristodoulou, Demetrios, _eauthor.
245	1	0	_aThe Formation of Black Holes in General Relativity _h[electronic resource] / _cDemetrios Christodoulou
260	3		_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2009
264		1	_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2009
300			_a1 online resource (598 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	0		_aEMS Monographs in Mathematics (EMM)
506	1		_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php
520			_aIn 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	_aGeneral relativity _2bicssc
650	0	7	_aRelativity and gravitational theory _2msc
650	0	7	_aPartial differential equations _2msc
650	0	7	_aGlobal analysis, analysis on manifolds _2msc
700	1		_aChristodoulou, Demetrios, _eauthor.
856	4	0	_uhttps://doi.org/10.4171/068
856	4	2	_3cover image _uhttp://www.ems-ph.org/img/books/christodoulou3_mini.jpg
942			_2EBK13772 _cEBK
999			_c50396 _d50396