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Advances in Astronomy
Volume 2017 (2017), Article ID 6127031, 12 pages
Research Article

Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions

1Center for Astrophysics, Department of Physics and Center for Research Computing, University of Notre Dame, Notre Dame, IN 46556, USA
2Center for Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA
3Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam
4Joint Institute for Nuclear Astrophysics (JINA), University of Notre Dame, Notre Dame, IN 46556, USA

Correspondence should be addressed to Grant J. Mathews

Received 19 September 2016; Accepted 30 November 2016; Published 9 January 2017

Academic Editor: Ignazio Licata

Copyright © 2017 In-Saeng Suh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The spatially conformally flat approximation (CFA) is a viable method to deduce initial conditions for the subsequent evolution of binary neutron stars employing the full Einstein equations. Here we analyze the viability of the CFA for the general relativistic hydrodynamic initial conditions of binary neutron stars. We illustrate the stability of the conformally flat condition on the hydrodynamics by numerically evolving ~100 quasicircular orbits. We illustrate the use of this approximation for orbiting neutron stars in the quasicircular orbit approximation to demonstrate the equation of state dependence of these initial conditions and how they might affect the emergent gravitational wave frequency as the stars approach the innermost stable circular orbit.