Highly accurate calculation of rotating neutron stars: Detailed description of the numerical methods

TL;DR

This paper details a multi-domain spectral method for constructing highly accurate general-relativistic models of rapidly rotating stars, demonstrating improved accuracy with higher approximation orders across various star types.

Contribution

It introduces a new multi-domain spectral numerical method for modeling rotating neutron stars with high precision, applicable to different stellar compositions.

Findings

Accuracy improves with higher approximation order.

Method successfully models homogeneous, polytropic, and strange stars.

Provides detailed numerical implementation and validation.

Abstract

We give a detailed description of the recently developed multi-domain spectral method for constructing highly accurate general-relativistic models of rapidly rotating stars. For both "ordinary" and "critical" configurations, it is exhibited by means of representative examples, how the accuracy improves as the order of the approximation increases. Apart from homogeneous fluid bodies, we also discuss models of polytropic and strange stars.