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.
General
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