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Journal Article

#### On the validity of the adiabatic approximation in compact binary inspirals

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##### Fulltext (public)

1205.7006

(Preprint), 4KB

PRD86_044032.pdf

(Any fulltext), 372KB

##### Supplementary Material (public)

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##### Citation

Maselli, A., Gualtieri, L., Pannarale, F., & Ferrari, V. (2012). On the validity
of the adiabatic approximation in compact binary inspirals.* Physical Review D,* *86*:
044032. doi:10.1103/PhysRevD.86.044032.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-77FB-C

##### Abstract

Using a semi-analytical approach recently developed to model the tidal
deformations of neutron stars in inspiralling compact binaries, we study the
dynamical evolution of the tidal tensor, which we explicitly derive at second
post-Newtonian order, and of the quadrupole tensor. Since we do not assume a
priori that the quadrupole tensor is proportional to the tidal tensor, i.e. the
so called "adiabatic approximation", our approach enables us to establish to
which extent such approximation is reliable. We find that the ratio between the
quadrupole and tidal tensors (i.e., the Love number) increases as the inspiral
progresses, but this phenomenon only marginally affects the emitted
gravitational waveform. We estimate the frequency range in which the tidal
component of the gravitational signal is well described using the stationary
phase approximation at next-to-leading post-Newtonian order, comparing
different contributions to the tidal phase. We also derive a semi-analytical
expression for the Love number, which reproduces within a few percentage points
the results obtained so far by numerical integrations of the relativistic
equations of stellar perturbations.