# Constraining neutron-star tidal Love numbers with gravitational-wave detectors

@article{Flanagan2008ConstrainingNT,
title={Constraining neutron-star tidal Love numbers with gravitational-wave detectors},
author={Eanna E. Flanagan and Tanja Hinderer},
journal={Physical Review D},
year={2008},
volume={77},
pages={021502}
}
• Published 12 September 2007
• Physics, Materials Science
• Physical Review D
Ground-based gravitational wave detectors may be able to constrain the nuclear equation of state using the early, low frequency portion of the signal of detected neutron star--neutron star inspirals. In this early adiabatic regime, the influence of a neutron star's internal structure on the phase of the waveform depends only on a single parameter $\ensuremath{\lambda}$ of the star related to its tidal Love number, namely, the ratio of the induced quadrupole moment to the perturbing tidal…
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## References

SHOWING 1-10 OF 46 REFERENCES
Gravitational signals emitted by a point mass orbiting a neutron star: Effects of stellar structure
• Physics
• 2002
The effects that the structure of a neutron star would have on the gravitational emission of a binary system are studied in a perturbative regime, and in the frequency domain. Assuming that a neutron
Tidal interactions of inspiraling compact binaries
• Physics
• 1992
We discuss the tidal interaction in neutron star-neutron star and neutron star-black hole binaries and argue that they will not be tidally locked during the gravitational inspiral. More specifically,
Measuring neutron-star radii with gravitational-wave detectors.
• Physics
Physical review letters
• 2002
This work presents a simple method for determining the compactness ratio M/R of NS based on the observed deviation of the GW energy spectrum from point-mass behavior at the end of inspiral.
Gravitational waves from inspiraling compact binaries: Parameter estimation using second-post-Newtonian waveforms.
• Physics
Physical review. D, Particles and fields
• 1995
It is found that previous results using template phasing accurate to 1.5PN order actually underestimated the errors in scrM, reduced mass, andspin parameters, and that for two inspiraling neutron stars, the measurement errors increase by less than 16%.
Prospects for gravitational-wave observations of neutron-star tidal disruption in neutron-star-black-hole binaries.
It is found that f(td) depends strongly on the NS radius R, and it is suggested that LIGO-II might measure R to 15% precision at 140 Mpc ( approximately 1 event/yr under current estimates).
Resonant Oscillations and Tidal Heating in Coalescing Binary Neutron Stars
Tidal interaction in a coalescing neutron star binary can resonantly excite the g-mode oscillations of the neutron star when the frequency of the tidal driving force equals the intrinsic g-mode
Impact of the nuclear equation of state on the last orbits of binary neutron stars
• Physics
• 2005
We present calculations of quasi-equilibrium sequences of irrotational binary neutron stars based on realistic equations of state (EOS) for the whole neutron star interior. Three realistic nuclear
Gravitational radiation from corotating binary neutron stars of incompressible fluid in the first post-Newtonian approximation of general relativity
• Physics
• 1998
We analytically study gravitational radiation from corotating binary neutron stars composed of an incompressible, homogeneous fluid in circular orbits. The energy and the angular momentum loss rates
Gravitationally redshifted absorption lines in the X-ray burst spectra of a neutron star
• Physics
Nature
• 2002
The discovery of significant absorption lines in the spectra of 28 bursts of the low-mass X-ray binary EXO0748-676 is reported, which is completely consistent with models of neutron stars composed of normal nuclear matter, while it excludes some models in which the neutron stars are made of more exotic matter.
The influence of quark matter at high densities on binary neutron star mergers
• Physics
• 2004
We consider the influence of potential quark matter existing at high densities in neutron star interiors on gravitational waves (GW) emitted in a binary neutron star merger event. Two types of