The Kerr metric
- Creators
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Teukolsky, Saul A.
Abstract
This review describes the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years. The review discusses the Penrose process, the four laws of black hole mechanics, uniqueness of the solution, and the no-hair theorems. It also includes Kerr perturbation theory and its application to black hole stability and quasi-normal modes. The Kerr metric's importance in the astrophysics of quasars and accreting stellar-mass black hole systems is detailed. A theme of the review is the 'miraculous' nature of the solution, both in describing in a simple analytic formula the most general rotating black hole, and in having unexpected mathematical properties that make many calculations tractable. Also included is a pedagogical derivation of the solution suitable for a first course in general relativity.
Additional Information
© 2015 IOP Publishing Ltd. Received 10 September 2014. Accepted for publication 8 October 2014. Published 1 June 2015. Focus issue: Milestones of general relativity I thank Leo Stein, Stanley Deser and Ted Jacobson for helpful discussions. This work was supported in part by NSF Grants PHY-1306125 and AST-1333129 at Cornell University, and by a grant from the Sherman Fairchild Foundation.Attached Files
Submitted - 1410.2130.pdf
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Additional details
- Eprint ID
- 86816
- DOI
- 10.1088/0264-9381/32/12/124006
- Resolver ID
- CaltechAUTHORS:20180605-164020178
- NSF
- PHY-1306125
- NSF
- AST-1333129
- Sherman Fairchild Foundation
- Created
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2018-06-06Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field