Efficiency of gravitational radiation from axisymmetric and 3 D stellar collapse. I - Polytropic case

Astronomy and Astrophysics – Astrophysics

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Gravitational Collapse, Gravitational Waves, Stellar Cores, Supernovae, Computer Programs, Mathematical Models, Stellar Evolution

Scientific paper

This paper is the first of a series devoted to the study of gravitational wave emission of collapsing stellar objects. A 3D pseudospectral hydrodynamic code is used to compute the gravitational wave amplitude emitted during the prebounce phase of the collapse of a polytropic core. It is shown that the maximum amplitude of the gravitational wave, h, remains very low (about two order of magnitude smaller than the estimate based on standard order of magnitude arguments) because of a subtle cancellation in the variations of the components of the quadrupole moment. Moreover, we show that, for a given mass, h depends only on a dimensionless parameter characterizing the deformation of the core, whatever the initial deformation is of rotational origin, or triaxial with a tidal contribution. Scaling law allows to give quantitative values of h as a function of mass of the core.

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