Innermost stable circular orbit of inspiraling neutron star binaries: Tidal effects, postNewtonian effects and the neutron star equation of state

We study how the neutron-star equation of state affects the onset of the dynamical instability in the equations of motion for inspiraling neutron-star binaries near coalescence. A combination of relativistic effects and Newtonian tidal effects cause the stars to begin their final, rapid, and dynamically-unstable plunge to merger when the stars are still well separated and the orbital frequency is

\approx

500 cycles/sec (i.e. the gravitational wave frequency is approximately 1000 Hz). The orbital frequency at which the dynamical instability occurs (i.e. the orbital frequency at the innermost stable circular orbit) shows modest sensitivity to the neutron-star equation of state (particularly the mass-radius ratio,

M/R_o

, of the stars). This suggests that information about the equation of state of nuclear matter is encoded in the gravitational waves emitted just prior to the merger.

Note:

RevTeX, to appear in PRD, 8 pages, 4 figures included

97.60.Jd
04.25.Dm
04.40.Dg
97.80.Fk
n: matter
orbit
gravitational radiation
effect: relativistic
thermodynamics
numerical calculations

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Figures(0)

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