000			02709nam a22003498i 4500
001			CR9780511661396
003			UkCbUP
005			20200124160233.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1996||||enk o ||1 0|eng|d
020			_a9780511661396 (ebook)
020			_z9780521567350 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQB843.B55 _bH48 1996
082	0	0	_a523.8/875/0151 _220
100	1		_aHeusler, Markus, _eauthor.
245	1	0	_aBlack hole uniqueness theorems / _cMarkus Heusler.
264		1	_aCambridge : _bCambridge University Press, _c1996.
300			_a1 online resource (xiii, 249 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge lecture notes in physics ; _v6
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Preliminaries -- 2. Spacetimes admitting Killing fields -- 3. Circular spacetimes -- 4. The Kerr metric -- 5. Electrovac spacetimes with Killing fields -- 6. Stationary black holes -- 7. The four laws of black hole physics -- 8. Integrability and divergence identities -- 9. Uniqueness theorems for nonrotating holes -- 10. Uniqueness theorems for rotating holes -- 11. Scalar mappings -- 12. Self-gravitating harmonic mappings.
520			_aThis timely review provides a self-contained introduction to the mathematical theory of stationary black holes and a self-consistent exposition of the corresponding uniqueness theorems. The opening chapters examine the general properties of space-times admitting Killing fields and derive the Kerr-Newman metric. Strong emphasis is given to the geometrical concepts. The general features of stationary black holes and the laws of black hole mechanics are then reviewed. Critical steps towards the proof of the 'no-hair' theorem are then discussed, including the methods used by Israel, the divergence formulae derived by Carter, Robinson and others, and finally the sigma model identities and the positive mass theorem. The book is rounded off with an extension of the electro-vacuum uniqueness theorem to self-gravitating scalar fields and harmonic mappings. This volume provides a rigorous textbook for graduate students in physics and mathematics. It also offers an invaluable, up-to-date reference for researchers in mathematical physics, general relativity and astrophysics.
650		0	_aBlack holes (Astronomy) _xMathematics.
776	0	8	_iPrint version: _z9780521567350
830		0	_aCambridge lecture notes in physics ; _v6.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511661396
999			_c517821 _d517819