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On the validity of the adiabatic approximation in compact binary inspirals

Maselli, Andrea, Gualtieri, Leonardo, Pannarale, Francesco and Ferrari, Valeria 2012. On the validity of the adiabatic approximation in compact binary inspirals. Physical Review D 86 (4) , 044032. 10.1103/PhysRevD.86.044032

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Abstract

Using a semianalytical 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 semianalytical 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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QB Astronomy
Q Science > QC Physics
Additional Information: Online publication date: 20 August 2012.
Publisher: American Physical Society
ISSN: 1550-7998
Last Modified: 04 Jun 2017 05:46
URI: http://orca.cf.ac.uk/id/eprint/53473

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