Computing rotating polytropic models in the post-Newtonian approximation: The problem revisited

In this paper, the problem of computing uniformly rotating polytropic models in the post-Newtonian approximation is revisited by applying to its treatment the so-called “complex plane strategy”. We achieve to remove certain difficulties, otherwise involved in the computations of general-relativistic polytropic models simulating rapidly rotating neutron stars, and to compute results of improved accuracy when compared to corresponding results of other reliable numerical methods.