Critical rotation of general-relativistic polytropic models simulating neutron stars: a post-Newtonian hybrid approximative scheme

TL;DR

This paper introduces a hybrid post-Newtonian approximation scheme to accurately model the critical rotation of neutron stars with relativistic effects, improving upon classical methods.

Contribution

It develops a novel hybrid approximation method using complex-plane strategies to better simulate relativistic neutron star models in critical rotation.

Findings

The scheme effectively incorporates complete relativistic effects.

It provides improved accuracy over classical post-Newtonian approximations.

Numerical results show enhanced modeling of neutron star rotation.

Abstract

We develop a "hybrid approximative scheme" in the framework of the post-Newtonian approximation for computing general-relativistic polytropic models simulating neutron stars in critical rigid rotation. We treat the differential equations governing such a model as a "complex initial value problem", and we solve it by using the so-called "complex-plane strategy". We incorporate into the computations the complete solution for the relativistic effects, this issue representing a significant improvement with regard to the classical post-Newtonian approximation, as verified by extended comparisons of the numerical results.