Group Theory And General Relativity: Representations Of The Lorentz Group And Their Applications To The Gravitational Field
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A01=Moshe Carmeli
Author_Moshe Carmeli
Bondi-Metzner-Sachs Group
C)
Category=PBG
Category=PDE
Category=PHR
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Exact Solutions of Gravitational Field Equations
Gauge Theory of Gravitation
General Relativity
Group Theory
Newman-Penrose Equations
Representations of SL(2
Spinor Representation
The groups SU(2) and O(3)
The Lorentz Group
Product details
- ISBN 9781860942341
- Publication Date: 16 Nov 2000
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory.There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -particularly the Lorentz and the SL(2,C) groups — to the theory of general relativity. Each chapter is concluded with a set of problems.The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2,C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book. The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed.The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.
