Rotating Fields in General Relativity

Jamal Nazrul Islam

doi:10.1017/CBO9780511735738

The aim of this book is to introduce the reader to research work on a particular aspect of rotating fields in general relativity. The account begins with a short introduction to the relevant aspects of general relativity, written at a level accessible to a beginning graduate student in theoretical physics. There follows a detailed derivation of the Wehl-Lewis-Papapetrou form of the stationary axially symmetric metric. The Kerr and Tomimatsu-Sato forms of the rotating interior and exterior solutions of the Einstein equations are then discussed. The last three chapters of the book illustrate the applications of the theory to rotating neutral dust, rotating Einstein-Maxwell fields, and rotating charged dust. The author has drawn on his own research work to produce a timely discussion of this important area of research.

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Rotating Fields in General Relativity

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Contents

Frontmatter
pp i-ii

Contents
pp iii-iv

Preface
pp v-vi

1 - Introduction
pp 1-24

2 - The Einstein equations for a rotating metric and some classes of solutions
pp 25-41

3 - The Kerr and Tomimatsu–Sato solutions
pp 42-52

4 - Rotating neutral dust
pp 53-66

5 - Rotating Einstein–Maxwell fields
pp 67-86

6 - Rotating charged dust
pp 87-114

Appendix
pp 115-116

References
pp 117-120

Index
pp 121-122

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Rotating Fields in General Relativity

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