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Multipole Expansions for Stationary Fields in General Relativity
M. G. J. Van Der Burg
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 303, No. 1472 (Feb. 6, 1968), pp. 37-44
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2415864
Page Count: 8
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Stationary solutions of the Einstein field equations with no spatial symmetries are considered in order to discover the number of arbitrary constants, corresponding to the moments of the source in the Newtonian field, which appear in the solution. It is shown that the stationary field contains twice the number of moments which appear in the static field, apart from the mass term which appears singly. These additional moments are essentially angular momentum terms, which in Newtonian theory make no contribution to the field.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1968 Royal Society