Chandrasekhar, S. (1978) The gravitational perturbations of the Kerr black hole. I. The perturbations in the quantities which vanish in the stationary state Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 358 (1695). pp. 421-439. ISSN 1364-5021
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Official URL: http://rspa.royalsocietypublishing.org/content/358...
Related URL: http://dx.doi.org/10.1098/rspa.1978.0020
Abstract
As a preliminary towards a complete integration of the Newman-Penrose equations governing the gravitational perturbations of the Kerr black hole, the perturbations in the spin coefficients and in the components of the Weyl tensor, which vanish in the stationary state, are considered. The manner of treatment of the basic equations yields Teukolsky's equations expressed directly in terms of the basic derivative operators of the theory and, further, suggests a preferred gauge in which two of the components of the Weyl tensor are governed by the same equations as a Maxwell field. Various identities and relations that are needed in subsequent work are assembled. In two appendixes, the solution of Maxwell's equations in Kerr geometry and the perturbations of the charged Kerr-Newman black hole are considered.
Item Type: | Article |
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Source: | Copyright of this article belongs to The Royal Society. |
ID Code: | 70843 |
Deposited On: | 22 Nov 2011 04:51 |
Last Modified: | 22 Nov 2011 04:51 |
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