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

Author:

Suh In-Saeng1,Mathews Grant J.2ORCID,Haywood J. Reese2,Lan N. Q.234

Affiliation:

1. Center for Astrophysics, Department of Physics and Center for Research Computing, University of Notre Dame, Notre Dame, IN 46556, USA

2. Center for Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA

3. Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam

4. Joint Institute for Nuclear Astrophysics (JINA), University of Notre Dame, Notre Dame, IN 46556, USA

Abstract

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.

Funder

US Department of Energy under Nuclear Theory

Publisher

Hindawi Limited

Subject

Space and Planetary Science,Astronomy and Astrophysics

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