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.
| Original language | English |
|---|---|
| Article number | 6127031 |
| Journal | Advances in Astronomy |
| Volume | 2017 |
| DOIs | |
| State | Published - 2017 |
| Externally published | Yes |
Funding
The work at the University ofNotre Dame (Grant J.Mathews) was supported by the US Department of Energy under Nuclear Theory Grant DE-FG02-95-ER40934 and by the University of Notre Dame Center for Research Computing. One of the authors (N. Q. Lan) was also supported in part by the National Science Foundation through the Joint Institute for Nuclear Astrophysics (JINA) at UND and in part by the VietnamMinistry of Education (MOE).
| Funders | Funder number |
|---|---|
| Joint Institute for Nuclear Astrophysics | |
| University of Notre Dame Center for Research Computing | |
| VietnamMinistry of Education | |
| National Science Foundation | |
| U.S. Department of Energy | DE-FG02-95-ER40934 |
| Notre Dame University-Louaize | |
| Ministry of Education - Singapore |