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New Solutions of Einstein Equations Representing Spinning Masses

Published online by Cambridge University Press:  07 February 2017

Humitaka Sato  and
Akira Tomimatsu
Humitaka Sato
Affiliation:
Research Institute for Fundamental Physics, Kyoto University, Japan
Akira Tomimatsu
Affiliation:
Research Institue for Theoretical Physics, Hiroshima University, Takehara, Hiroshima-ken, Japan

Abstract

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We found new, stationary axisymmetric, asymptotically flat exact solutions to Einstein's vacuum field equations, which are classified by an integer δ and Kerr metric is the solution of δ = 1. The number of ring singularity on the equatorial plane is δ. The odd δ metrices contain the surfaces of event horizon but the even δ metrices do not. Except the Kerr metric, however, the space-time becomes singular at the poles on these surfaces.

Type
Part III: Accretion of Matter and X-Ray Sources
Information
Symposium - International Astronomical Union , Volume 64: Gravitational Radiation and Gravitational Collapse , 1974 , pp. 191
Copyright
Copyright © Reidel 1974 

References

Tomimatsu, A. and Sato, H.: 1972 Phys. Rev. Letters 29, 1344.CrossRefGoogle Scholar
Tomimatsu, A. and Sato, H.: 1973 Prog. Theor. Phys. 50, 95.CrossRefGoogle Scholar
Tomimatsu, A. and Sato, H.: Lettere Nuovo Cimento, to be published.Google Scholar