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An infinite cylinder with multipole moments in general relativity

Published online by Cambridge University Press:  24 October 2008

J. C. Jackson
J. C. Jackson
Affiliation:
King's College, London
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Abstract

The exterior metric of an infinitely long cylinder whose parameters vary periodically along its length is obtained as a Weyl type solution in terms of Bessel functions, and extended into the interior of the source. The question of inductive energy transfer between two co-axial cylinders of this nature is considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 491 - 501
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Weyl, H.Ann. Physik Lz. 54 (1917), 117.CrossRefGoogle Scholar
(2)Bergmann, P. G.Introduction to the theory of relativity, p. 208 (Prentice Hall, New York, 1946).Google Scholar
(3)Petiau, G.La theorie des fonctions de Bessel. Centre National de la Recherche Scientifique (Paris, 1955).Google Scholar
(4)Levi-Civita, T.Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (5) 28 (1919), 3–13.Google Scholar
(5)Marder, L.Proc. Roy. Soc. Ser. A 244 (1958), 524.Google Scholar
(6)Lichnerowicz, A.Theories relativistes de la gravitation et de l'electromagnetisme, chapters 1, 3 (Masson, Paris, 1955).Google Scholar
(7)Tolman, R. C.Relativity, thermodynamics and cosmology, p. 235 (Clarendon Press, Oxford, 1934).Google Scholar
(8)Bondi, H. and Morgan, T. To be published.Google Scholar
(9)Bondi, H.Les Theories Relativistes de la Gravitation, p. 129. Royaumont, 1959.Google Scholar
(10)Bondi, H. Lecture Notes: Brandeis summer school in theoretical physics, p. 431. (Prentice Hall, New York, 1964).Google Scholar