XCVI. On the gravitational effects of distant rotating masses

Summary Thirring's calculation of the gravitational field near the centre of a rotating spherical shell is corrected and elaborated. First, an additional term, representing elastic stresses, is introduced into the energy-momentum tensor; without this term the conservation laws cannot be fulfilled and the shell could not keep together during rotation. Secondly, the dependence of the gravitational effects on the mass-distribution over the shell is investigated. The quasi-centrifugal forces are to be attributed entirely to the mass-distribution on the shell arising from the mass-increase with velocity.