Exact interior solutions for rigidly rotating stationary cylindrical fluids with azimuthal pressure.

Exact solutions to Einstein's equations of general relativity representing interior spacetimes sourced by rigidly rotating stationary cylindrical fluids with azimuthally directed pressure are found. These solutions are bounded by a cylindrically symmetric hypersurface on which they are required to satisfy junction conditions. Elementary flatness and regularity conditions are imposed. The mathematical and physical properties of these solutions are analysed. A physical interpretation of their constant parameter is provided. This parameter distinguishes different spacetimes while determining their properties. This particular set of solutions is the second in a series involving three cases of complementary rigidly rotating stationary anisotropic fluids where each principal stress is, in turn, required to dominate. A first class of solutions exhibiting purely axial anisotropic pressure has already been presented in a previous article and is compared to the one disclosed here.