This timely review provides a selfcontained introduction to the mathematical theory ofstationeryblack holes and a selfconsistent exposition of the corresponding uniqueness theorems. The opening chapters examine the general properties of spacetimes admitting Killing fields and derive the KerrNewman metric. Strong emphasis is given to the geometrical concepts. The general features ofstationeryblack holes and the laws of black hole mechanics are then reviewed. Critical steps towards the proof of the 'nohair' 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 electrovacuum uniqueness theorem to selfgravitating scalar fields and harmonic mappings. This volume provides a rigorous textbook for graduate students in physics and mathematics. It also offers an invaluable, uptodate reference for researchers in mathematical physics, general relativity and astrophysics.
About Markus Heusler
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Author  :  Markus Heusler 
Publisher  :  Cambridge University Press 
Data Published  :  25 July 1996 
ISBN  :  0521567351 
EAN  :  9780521567350 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  264 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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