Statistical thermodynamics for a self-gravitating fluid of rotating particles

Systems with long-range interactions (those which decay at large distances as r(-l), with l >= d, where d is the dimensionality of the considered space), like gravitational or charged ones, present difficulties when treated by conventional statistical mechanics perturbation methods. In this work a self-gravitating fluid of rotating spherical particles is considered. The corresponding inter-particle potential model is a long-ranged one and was obtained from the application of the Newtonian limit to the Kerr metric. This potential has been expressed as a finite sum of hard-core Yukawa potentials. This new potential mimics the original long-ranged one and can be treated with conventional statistical mechanics methods. The first-order mean spherical approximation is applied to this potential to obtain the thermodynamic response functions.