1 research outputs found
Review of Conformally Flat Approximation for Binary Neutron Star Initial Conditions
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 review the status of the
original formulation 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
quasi-circular orbits. We illustrate the use of this approximation for orbiting
neutron stars in the quasi-circular 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.Comment: 22 pages, 12 figures, revised as per referee recommendation