GROUP THEORY AND GENERAL RELATIVITY

Representations Of The Lorentz Group And Their Applications To The Gravitational Field

By: CARMELI MOSHE

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Hardcover | 26 November 2000

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Hardcover
410 Pages

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22.86 x 15.24 x 2.39

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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.

Industry Reviews

"... the book is of assistance for everybody interested in group analysis and gauge formulations of gravity and certainly up to date because of the very thorough presentation of problems which never die and belong to the classics of the topic." General Relativity and Gravitation, 2003

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You Can Find This Book In

Non-Fiction Mathematics Groups & Group Theory Science Physics Relativity Physics Science in General Maths for Scientists Quantum Physics & Quantum Mechanics & Quantum Field Theory Booktopia Publisher Services World Scientific Publishing

The Rotation Group
The Lorentz Group
Spinor Representation of the Lorentz Group
Principal Series of Representations of SL(2,C)
Complementary Series of Representations of SL(2,C)
Complete Series of Representations of SL(2,C)
Elements of General Relativity Theory
Spinors in General Relativity
SL(2,C) Gauge Theory of the Gravitational Field: The Newman-Penrose Equations
Analysis of the Gravitational Field
Some Exact Solutions of the Gravitational Field Equations
The Bondi-Metzner-Sachs Group
Table of Contents provided by Blackwell. All Rights Reserved.

GROUP THEORY AND GENERAL RELATIVITY

Representations Of The Lorentz Group And Their Applications To The Gravitational Field

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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