Limits of the Tomimatsu‐Sato gravitational field

Limits of the Tomimatsu‐Sato gravitational field

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'...

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Veröffentlicht in:J. Math. Phys. (N.Y.), v. 15, no. 12, pp. 2121-2126 v. 15, no. 12, pp. 2121-2126, 1974-12, Vol.15 (12), p.2121-2126
Hauptverfasser: Kinnersley, William, Kelley, Edward F.
Format: Artikel
Sprache:eng
Schlagworte:
ANALYTICAL SOLUTION
BLACK HOLES
EINSTEIN FIELD EQUATIONS- ASYMPTOTIC SOLUTIONS
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
KERR METRIC
N76300 -Physics (Theoretical)-Gravitation & General Relativity
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Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1666592