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.

19 pages (RevTeX), 9 eps figures. Three new figures and additional discussion on 1-parameter Padé expansion. Accepted for publication in Physical Review D

References in corpus (5)

• Effective one-body approach to general relativistic two-body dynamics
• Improved filters for gravitational waves from inspiralling compact binaries
• Three Dimensional Numerical General Relativistic Hydrodynamics I: Formulations, Methods, and Code Tests
• Nonlinear hydrodynamical evolution of rotating relativistic stars: Numerical methods and code tests
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