Pad\'e approximants for truncated post-Newtonian neutron star models

TL;DR

This paper introduces Padé approximants for truncated post-Newtonian neutron star models, demonstrating they converge faster to general relativity solutions and better approximate evolutions than traditional Taylor models.

Contribution

The authors develop and validate Padé approximants as an improved method for modeling neutron stars in post-Newtonian frameworks, outperforming truncated Taylor models.

Findings

Padé models converge faster to GR solutions.

Padé initial data better approximates full GR evolution.

Potential for improved initial data in binary systems.

Abstract

Pad\'e approximants to truncated post-Newtonian neutron star models are constructed. The Pad\'e models converge faster to the general relativistic (GR) solution than the truncated post-Newtonian ones. The evolution of initial data using the Pad\'e models approximates better the evolution of full GR initial data than the truncated Taylor models. In the absence of full GR initial data (e.g., for neutron star binaries or black hole binary systems), Pad\'e initial data could be a better option than the straightforward truncated post-Newtonian (Taylor) initial data.