The relativistic model of a tidally disrupted star

Physics – Nuclear Physics

Scientific paper

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Scientific paper

A new semi-analytical model of a star evolving in a tidal field is proposed. In our model the star is composed of elliptical shells with different parameters and different orientations depending on time and on the radial Lagrangian coordinate of the shell. The evolution equations of this model are derived from the virial equations. The dynamical equations are solved numerically for the polytropic star evolving the relativistic field of a massive Kerr black hole. The comparison with the results of three-dimensional numerical computations shows good agreement between the main characteristics describing the tidal interaction event in our model and in the three-dimensional computations. Our model is effectively a one-dimensional Lagrangian model from the point of view of numerical computations, and therefore it can be evolved numerically 102-103 times faster than the three-dimensional approach allows. This makes our model well suited for intensive calculations covering the whole parameter space of the problem. In the frame of the proposed model the dependence of the tidal interaction strength on the relative orientation of the angular momentum of the star and the spin of the black hole is shown.

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