Highly accurate calculation of rotating neutron stars

Detailed description of the numerical methods

Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743 Jena, Germany

Corresponding author: M. Ansorg, ansorg@tpi.uni-jena.de

Received: 10 January 2003
Accepted: 16 April 2003

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, we show using representative examples, how the accuracy improves as the order of the approximation increases. As well as homogeneous fluid bodies, we also discuss models of polytropic and strange stars.