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On the Description of High-Frequency Gravitational Waves

Published online by Cambridge University Press:  07 February 2017

M. A. H. MacCALLUM*
Affiliation:
King's College, Cambridge, Great Britain

Abstract

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Taub and I have used the ‘Average Lagrangian’ method (Whitham, 1971; Dougherty, 1970) for the case of gravitational waves (MacCallum and Taub, 1973; Taub, 1973). A difficulty arises in going beyond first-order effects as gauge waves and physical waves appear to interact (MacCallum, 1973). The source of this difficulty is not yet known, but doubt is cast on the usual conceptual framework.

Type
Part II: Stability and Collapse
Copyright
Copyright © Reidel 1974 

References

Dougherty, J. P.: 1970, J. Plasma Phys. 4, 761.Google Scholar
MacCallum, M. A. H.: 1973, paper in preparation.Google Scholar
MacCallum, M. A. H. and Taub, A. H.: 1973, Comm. Math. Phys. 30, 153.Google Scholar
Taub, A. H.: 1973, Proceedings of C.N.R.S. Colloque, Paris.Google Scholar
Whitham, G. B.: 1971, in Taub, A. H. (ed.), Studies in Applied Mathematics, vol. 7, Mathematical Association of America Studies in Mathematics, Prentice Hall, Englewood Cliffs, N.J. Google Scholar