An SU(2) spin coefficient approach to the problem of rigidly rotating fluid

This paper deals with the problem of a relativistic stationary, axisymmetric, rigidly rotating fluid by means ofPerjes’s three-dimensional spin coefficient formalism. The spin coefficient equivalents of the Einstein and Euler equations and those of Weyl and Ricci tensors are calculated. We show that the formalism can be applied even if the cosmological constant Λ is not equal to zero.