Black hole uniqueness theorems [EBook] / Markus Heusler.
Black hole uniqueness theorems [EBook] / Markus Heusler.
This timely review provides a selfcontained introduction to the mathematical theory of stationary black 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 KerrNe...
Personal Name(s):  Heusler, Markus, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
1996

Physical Description: 
1 online resource (xiii, 249 pages) 
Note: 
englisch 
ISBN: 
9780511661396 9780521567350 
Series Title: 
Cambridge lecture notes in physics ;
6 
Subject (LOC):  
Full Text 
This timely review provides a selfcontained introduction to the mathematical theory of stationary black 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 of stationary black 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. 