Quasiequilibrium sequences of synchronously rotating binary neutron stars with constant rest masses in general relativity: Another approach without using the conformally flat condition

2002 ◽  
Vol 65 (6) ◽  
Author(s):  
Fumihiko Usui ◽  
Yoshiharu Eriguchi
Keyword(s):  
General Relativity ◽  
Neutron Stars ◽  
Conformally Flat ◽  
Flat Condition ◽  
Binary Neutron Stars

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

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
In-Saeng Suh ◽  
Grant J. Mathews ◽  
J. Reese Haywood ◽  
N. Q. Lan
Keyword(s):  
Neutron Stars ◽  
Initial Conditions ◽  
State Dependence ◽  
Einstein Equations ◽  
Conformally Flat ◽  
Binary Neutron Star ◽  
Stable Circular Orbit ◽  
Flat Condition ◽  
Binary Neutron Stars ◽  
The Stability

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.

scholarly journals Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity: Method and tests

2001 ◽  
Vol 63 (6) ◽  
Author(s):  
Eric Gourgoulhon ◽  
Philippe Grandclément ◽  
Keisuke Taniguchi ◽  
Jean-Alain Marck ◽  
Silvano Bonazzola
Keyword(s):  
General Relativity ◽  
Neutron Stars ◽  
Binary Neutron Stars

QUASI-EQUILIBRIUM SEQUENCES OF IRROTATIONAL BINARY NEUTRON STARS IN GENERAL RELATIVITY

2002 ◽  
pp. 2299-2300
Author(s):  
K. TANIGUCHI ◽  
E. GOURGOULHON ◽  
P. GRANDCLÉMENT ◽  
J.-A. MARCK ◽  
S. BONAZZOLA
Keyword(s):  
General Relativity ◽  
Neutron Stars ◽  
Quasi Equilibrium ◽  
Binary Neutron Stars

scholarly journals Binary Neutron Stars in General Relativity: Quasiequilibrium Models

1997 ◽  
Vol 79 (7) ◽  
pp. 1182-1185 ◽  
Author(s):  
T. W. Baumgarte ◽  
G. B. Cook ◽  
M. A. Scheel ◽  
S. L. Shapiro ◽  
S. A. Teukolsky
Keyword(s):  
General Relativity ◽  
Neutron Stars ◽  
Binary Neutron Stars
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