Limits of the generalised Tomimatsu-Sato gravitational fields

Details Limits of the generalised Tomimatsu-Sato gravitational fields Limits of the generalised Tomimatsu-Sato gravitational fields

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jpha...10.2093c&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 10, Dec. 1977, p. 2093-2105.

Physics

11

Gravitation Theory, Gravitational Fields, Metric Space, Astronomical Models, Canonical Forms, Differential Equations, Einstein Equations

Scientific paper

In a previous paper, a three-parameter family of exact asymptotically flat stationary axisymmetric vacuum solutions of Einstein's equations which contains the solutions of Kerr and Tomimatsu-Sato (1973) as special cases was presented. In this paper, two special cases of the previous family which must be constructed by a limiting process are considered. These will be interpreted as a 'rotating Curzon metric' and a 'generalized extreme Kerr metric'. In addition, approximate forms for the original metrics will be given for the cases of slow rotation and small deformation.

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