[Show abstract][Hide abstract] ABSTRACT: We present the first fully relativistic calculations of the crustal strain
induced in a neutron star by a binary companion at the late stages of inspiral,
employing realistic equations of state for the fluid core and the solid crust.
We show that while the deep crust is likely to fail only shortly before
coalescence, there is a large variation in elastic strain, with the outermost
layers failing relatively early on in the inspiral. We discuss the significance
of the results for both electromagnetic and gravitational-wave astronomy.
[Show abstract][Hide abstract] ABSTRACT: We discuss the response of neutron stars to the tidal interaction in a
compact binary system, as encoded in the Love number associated with the
induced deformation. This problem is of interest for gravitational-wave
astronomy as there may be a detectable imprint on the signal from the late
stages of binary coalescence. Previous work has focussed on simple barotropic
neutron star models, providing an understanding of the role of the stellar
compactness and overall density profile. We add realism to the discussion by
developing the framework required to model stars with varying composition and
an elastic crust. These effects are not expected to be significant for the next
generation of detectors but it is nevertheless useful to be able to quantify
them. Our results show that (perhaps surprisingly) internal stratification has
no impact whatsoever on the Love number. We also show that crust elasticity
provides a (predictably) small correction to existing models.