Analysis of the 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 analyze the viability of the CFA for the general relativistic hydrodynamic initial conditions of bina...

Full description

Saved in:
Bibliographic Details
Main Authors: In-Saeng Suh, Grant J. Mathews, J. Reese Haywood, N. Q. Lan
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Astronomy
Online Access:http://dx.doi.org/10.1155/2017/6127031
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832565926862520320
author In-Saeng Suh
Grant J. Mathews
J. Reese Haywood
N. Q. Lan
author_facet In-Saeng Suh
Grant J. Mathews
J. Reese Haywood
N. Q. Lan
author_sort In-Saeng Suh
collection DOAJ
description 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.
format Article
id doaj-art-65a397ec6285400bb8fa1d25f5c12192
institution Kabale University
issn 1687-7969
1687-7977
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Advances in Astronomy
spelling doaj-art-65a397ec6285400bb8fa1d25f5c121922025-02-03T01:05:32ZengWileyAdvances in Astronomy1687-79691687-79772017-01-01201710.1155/2017/61270316127031Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial ConditionsIn-Saeng Suh0Grant J. Mathews1J. Reese Haywood2N. Q. Lan3Center for Astrophysics, Department of Physics and Center for Research Computing, University of Notre Dame, Notre Dame, IN 46556, USACenter for Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USACenter for Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USACenter for Astrophysics, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USAThe 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.http://dx.doi.org/10.1155/2017/6127031
spellingShingle In-Saeng Suh
Grant J. Mathews
J. Reese Haywood
N. Q. Lan
Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
Advances in Astronomy
title Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
title_full Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
title_fullStr Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
title_full_unstemmed Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
title_short Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
title_sort analysis of the conformally flat approximation for binary neutron star initial conditions
url http://dx.doi.org/10.1155/2017/6127031
work_keys_str_mv AT insaengsuh analysisoftheconformallyflatapproximationforbinaryneutronstarinitialconditions
AT grantjmathews analysisoftheconformallyflatapproximationforbinaryneutronstarinitialconditions
AT jreesehaywood analysisoftheconformallyflatapproximationforbinaryneutronstarinitialconditions
AT nqlan analysisoftheconformallyflatapproximationforbinaryneutronstarinitialconditions