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  On the validity of the adiabatic approximation in compact binary inspirals

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-77FB-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-77FC-A
Genre: Journal Article

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1205.7006 (Preprint), 4KB
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 Creators:
Maselli, A., Author
Gualtieri, L., Author
Pannarale, F.1, Author              
Ferrari, V., Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, Solar and Stellar Astrophysics, astro-ph.SR
 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.

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 Dates: 2012-05-312012-09-142012
 Publication Status: Published in print
 Pages: 13 pages, 1 table, 2 figures. Minor changes to match the version appearing on Phys. Rev. D
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 Table of Contents: -
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 Identifiers: arXiv: 1205.7006
DOI: 10.1103/PhysRevD.86.044032
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 86 Sequence Number: 044032 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258