Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions
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 in this paper, 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.
 Authors:
 Univ. of Notre Dame, IN (United States). Center for Astrophysics, Dept. of Physics and Center for Research Computing
 Univ. of Notre Dame, IN (United States). Center for Astrophysics, Dept. of Physics
 Univ. of Notre Dame, IN (United States). Center for Astrophysics, Dept. of Physics ; Hanoi National Univ. of Education (Vietnam); Univ. of Notre Dame, IN (United States). Joint Inst. for Nuclear Astrophysics (JINA)
 Publication Date:
 Research Org.:
 Univ. of Notre Dame, IN (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1366506
 Grant/Contract Number:
 FG0295ER40934
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Advances in Astronomy
 Additional Journal Information:
 Journal Volume: 2017; Journal ID: ISSN 16877969
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Suh, InSaeng, Mathews, Grant J., Haywood, J. Reese, and Lan, N. Q.. Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions. United States: N. p., 2017.
Web. doi:10.1155/2017/6127031.
Suh, InSaeng, Mathews, Grant J., Haywood, J. Reese, & Lan, N. Q.. Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions. United States. doi:10.1155/2017/6127031.
Suh, InSaeng, Mathews, Grant J., Haywood, J. Reese, and Lan, N. Q.. Mon .
"Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions". United States.
doi:10.1155/2017/6127031. https://www.osti.gov/servlets/purl/1366506.
@article{osti_1366506,
title = {Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions},
author = {Suh, InSaeng and Mathews, Grant J. and Haywood, J. Reese and Lan, N. Q.},
abstractNote = {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 in this paper, 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.},
doi = {10.1155/2017/6127031},
journal = {Advances in Astronomy},
number = ,
volume = 2017,
place = {United States},
year = {Mon Jan 09 00:00:00 EST 2017},
month = {Mon Jan 09 00:00:00 EST 2017}
}

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