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MG13 proceedings: On the validity of the adiabatic approximation in compact binary inspirals

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arxiv 1302.5249 v1 pith:7ZSERCPV submitted 2013-02-21 gr-qc

MG13 proceedings: On the validity of the adiabatic approximation in compact binary inspirals

classification gr-qc
keywords tidaladiabaticapproximationbinarycompactevolutiongravitationalphase
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We use the post-Newtonian-Affine model to assess the validity of the adiabatic approximation in modeling tidal effects in the phase evolution of compact binary systems. We compute the dynamical evolution of the tidal tensor, which we estimate at the 2 PN order, and of the quadrupole tensor, finding that their ratio, i.e. the tidal deformability, increases in the last phases of the inspiral. We derive the gravitational wave phase corrections due to this phenomenon and quantify how they affect gravitational wave detectability.

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