The mathematical theory of black holes
著者
書誌事項
The mathematical theory of black holes
(The international series of monographs on physics, 69)
Oxford University Press, 1992
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注記
First published in 1983. First issued as an Oxford University Press paperback, 1992
"Oxford science publications"--Cover
Includes bibliographical references and index
内容説明・目次
内容説明
This treatise is devoted to the mathematical theory of the space-times surrounding the black holes of nature. Since the general theory of relativity provides a unique family of solutions (the Kerr family) for black holes, the subject is mathematically well defined. A preliminary chapter provides the basic mathematical tools. The principal chapters deal with the Schwarzchild solution, describing static, spherically symmetric black holes. The geometry of these space-times is analyzed in terms of their geodesics. A particular feature of the book is the collection of illustrations exhibiting the various classes of geodesics.
目次
- Mathematical preliminaries
- A space-time of sufficient generality
- The Schwarzchild space-time
- The perturbations of the Schwarzchild black-hole
- The Reissner-Nordstrom solution
- The Kerr metric
- The geodesics in the Kerr space-time
- Electromagnetic waves in Kerr geometry
- The gravitational perturbations of the Kerr black-hole
- Spin-half particles in Kerr geometry
- Other solutions and methods.
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