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. doi:10.1063/1.1666592. https://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 | ||||||
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| Additional Information: | ©1974 American Institute of Physics. Received 1 May 1974. | ||||||
| Issue or Number: | 12 | ||||||
| DOI: | 10.1063/1.1666592 | ||||||
| Record Number: | CaltechAUTHORS:KINjmp74 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:KINjmp74 | ||||||
| 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: | 08 Nov 2021 20:12 |
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