The gravitational field of a rotating fluid mass in general relativity

Abstract

A method recently given by Das, Florides & Synge is now slightly modified and applied to find the gravitational field of a steadily rotating fluid mass, not necessarily of constant density. The result is approximate in the sense that, outside the body, there is a residual energy tensor T ij such that is small of the order (m/a) 3 , where m is the mass of the body and a a typical radius.