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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