Padé approximants for truncated post-Newtonian neutron star models

Abstract

Padé approximants to truncated post-Newtonian neutron star models are constructed. The Padé models converge faster to the general relativistic (GR) solution than the truncated post-Newtonian ones. The evolution of initial data using the Padé 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), Padé initial data could be a better option than the straightforward truncated post-Newtonian (Taylor) initial data.