Singularities in the delta equals 3 TomimatsuSato spacetime
Abstract
Singularities in TomimatsuSato spacetime vacuum solutions of the Einstein equations with a distortion parameter (delta) equal to 3 are investigated. For the case in which the specific angular momentum is greater than the mass of the source, in which no event horizon is present, zeros of the polynomial giving the locations of the singularities are found corresponding to six ring singularities outside the equatorial plane and three in the equatorial plane. For the case when the specific angular momentum is less than the mass of the source, no ring singularities are obtained outside the equatorial plane and three are found within it.
 Publication:

Nuovo Cimento Lettere
 Pub Date:
 August 1980
 Bibcode:
 1980NCimL..28..492C
 Keywords:

 Einstein Equations;
 Gravitational Fields;
 Relativity;
 Singularity (Mathematics);
 SpaceTime Functions;
 Angular Momentum;
 Black Holes (Astronomy);
 Gravitation Theory;
 Polynomials;
 Rotating Bodies;
 Astrophysics