The Kerr metric
By Saul A. Teukolsky. 2014
209 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/313f534b2164f50d6ffdce31ed228e02d2aeacf8
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “[182] for a first-person historical account), it was shown that linearized perturbations of the Kerr geometry could be described with a single master equation, describing “probe” scalar (s = 0), massless Dirac (s = ±1/2), electromagnetic (s = ±1) and gravitational (s = ±2) fields in a Kerr backgroun”
- Superradiance (2015, background): “[241] for a first-person historical account), it was shown that linearized perturbations of the Kerr geometry could be described with a single master equation, describing “probe” scalar (s = 0), massless Dirac (s = ±1/2), EM (s = ±1) and gravitational (s = ±2) fields in a Kerr background [61].”
- Numerical methods for finding stationary gravitational solutions (2015, methodology): “If one also imposes asymptotic flatness, there are of course spherical black holes, including the higher dimensional versions of Kerr [171–173] and Kerr-AdS [331], namely Myers-Perry black holes [332, 333] and their AdS counterparts [334, 335].”