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. (C) 2013 Elsevier B.V. All rights reserved.