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Black Hole Uniqueness Theorems

Black Hole Uniqueness Theorems

$73.99 (C)

Part of Cambridge Lecture Notes in Physics

  • Date Published: July 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521567350

$ 73.99 (C)
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  • This timely review provides a self-contained introduction to the mathematical theory of stationary black holes and a self-consistent exposition of the corresponding uniqueness theorems. The opening chapters examine the general properties of space-times admitting Killing fields and derive the Kerr-Newman metric. Heusler emphasizes the general features of stationary black holes, the laws of black hole mechanics, and the geometrical concepts behind them. Tracing the steps toward the proof of the "no-hair" theorem, he illustrates the methods used by Israel, the divergence formulas derived by Carter, Robinson and others, and finally the sigma model identities and the positive mass theorem. The book also includes an extension of the electro-vacuum uniqueness theorem to self-gravitating scalar fields and harmonic mappings. A rigorous textbook for graduate students in physics and mathematics, this volume offers an invaluable, up-to-date reference for researchers in mathematical physics, general relativity and astrophysics.

    • Emphasis on stationary black holes (the most commonly studied type of black hole)
    • Serves as an invaluable guide to the primary literature of black hole theories
    • Most derivations are worked out and explained in full detail
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    Reviews & endorsements

    "...this volume is in fact well-written and provides a quite rigorous and advanced textbook for graduate students in mathematical physics as well as an important reference for researchers who are interested in the 'classical' theory of black holes and, in particular, in uniqueness theorems....it offers an up-to-date bibliography also taking account of several links with problems currently under investigation which are given throughout the book." Valter Moretti, Mathematical Reviews

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    Product details

    • Date Published: July 1996
    • format: Paperback
    • isbn: 9780521567350
    • length: 264 pages
    • dimensions: 234 x 154 x 19 mm
    • weight: 0.41kg
    • availability: Available
  • 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.

  • Author

    Markus Heusler, Universität Zürich

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