Comment on a relativistic model for coalescing neutron star binaries
R. Rieth, G. Sch\"afer (Max--Plank--Society, Research Unit,,Theory of, Gravitation'' at the Friedrich Schiller University, Jena, Germany)
TL;DR
This paper compares Wilson approximate and Einstein dynamics for neutron star binaries, revealing significant differences at the second post-Newtonian level and moderate discrepancies near the ISCO, impacting models of coalescing neutron stars.
Contribution
It provides a detailed comparison between approximate and Einstein dynamics, highlighting the magnitude of differences relevant for modeling neutron star coalescence.
Findings
Up to 114% difference at second post-Newtonian approximation.
Up to 7% difference near the innermost stable circular orbit.
Quantitative assessment of dynamics discrepancies in neutron star binaries.
Abstract
The Wilson approximate dynamics and the Einstein dynamics are compared for binary systems. At the second post-Newtonian approximation, genuine two-body aspects are found to differ by up to 114\%. In the regime of a formal innermost stable circular orbit (ISCO) the both dynamics differ by up to 7\%.
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Taxonomy
TopicsPulsars and Gravitational Waves Research · Gamma-ray bursts and supernovae · Astro and Planetary Science