'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

• 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.

'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

• 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.