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Limits of the Tomimatsu-Sato gravitational field

Kinnersley, William and Kelley, Edward F. (1974) Limits of the Tomimatsu-Sato gravitational field. Journal of Mathematical Physics, 15 (12). pp. 2121-2126. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:KINjmp74

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Abstract

The Tomimatsu-Sato (TS) solutions of the Einstein field equations are studied in several limiting cases. In the weak-field limit we construct two Newtonian models for the source, one consisting of a rotating disc of radius a/n, the other made up of n complex point multipoles. The "extreme" limit q = 1 is also examined in detail, and we find there are many distinct ways of taking this limit. We are thereby led to a new two-parameter family of exact solutions which, unlike the TS metrics, are not asymptotically flat.


Item Type:Article
Additional Information:©1974 American Institute of Physics. Received 1 May 1974.
Record Number:CaltechAUTHORS:KINjmp74
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KINjmp74
Alternative URL:http://dx.doi.org/10.1063/1.1666592
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3824
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Jul 2006
Last Modified:26 Dec 2012 08:56

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