Binary Neutron-Star Systems: From the Newtonian Regime to the Last Stable Orbit

Abstract

We report on the first calculations of fully relativistic binary circular orbits to span a range of separation distances from the innermost stable circular orbit (ISCO), deeply inside the strong field regime, to a distance ($\sim$ 200 km) where the system is accurately described by Newtonian dynamics. We consider a binary system composed of two identical corotating neutron stars, with 1.43 $M_{\odot }$ gravitational mass each in isolation. Using a conformally flat spatial metric we find solutions to the initial value equations that correspond to semi-stable circular orbits. At large distance, our numerical results agree exceedingly well with the Newtonian limit. We also present a self consistent determination of the ISCO for different stellar masses.

4 pages, 3 postscript figures. Data points added to fig 2; some issues clarified; references added

References in corpus (2)

• Relativistic Hydrodynamics in Close Binary Systems: Analysis of Neutron-Star Collapse
• Binary-Induced Gravitational Collapse: A Trivial Example

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