The Application of Tomimatsu-Sato Metric to the Gravitational Field of Ordinary Spinning Object
Xu Xiao-hai · Communications in Theoretical Physics · 1984
An expression of the Tomimatsu-Sato metric in the Schwarzschild coordinates is found. In it those small terms of are omitted. The resulting expression is applied to the description of gravitational field of ordinary spinning objects such as the sun. The Landau-Lifshitz method used to find the deflection of light and precession of perihelia in the Schwarzschild field is generalized to the gravitational field of a spinning object. It is shown that the expressions of the deflection of light and precession of perihelia in the Tomimatsu-Sato field are the same as those in the Kerr field. Tomimatsu and Sato have conjectured that their metric is more appropriate for describing the gravitational field of ordinary spinning object than Kerr metric. In order to check this conjecture one must consider the terms smaller than .