Table of Contents

1. Preliminaries; 2. Spacetimes admitting killing fields; 3. Circular spacetimes; 4. The Kerr metric; 5. Electrovac spacetimes with killing fields; 6. Stationary black holes; 7. The laws of black hole physics; 8. Integrability and divergence identities; 9. Uniqueness theorems for nonrotating holes; 10. Uniqueness theorems for rotating holes; 11. Scalar mappings; 12. Self-gravitating harmonic mappings; References; Subject index.

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A self-contained introduction to the mathematical theory of black holes.

Reviews

'This work in the Cambridge Lecture Notes in Physics series should be useful to everyone interested in stationary black hole systems. It contains copious references and provides easy access to a large amount of information about these systems as well as details of the uniqueness theorems themselves ... a welcome addition to the literature on black holes.' D. C. Robinson, Classical Quantum Gravity 'Students and researchers into Michell holes will find this text (in lecture form) invaluable.' A. D. Andrews, Irish Astronomical Journal 'Black Hole Uniqueness Theorems, is a valuable addition to the literature on the mathematical theory of stationary black holes ... The author has succeeded in presenting a self-contained account of black hole uniqueness theorems ... I can recommend this book strongly to readers interested in black holes.' Pawel O. Mazur, General Relativity and Gravitation