Equilibrium models of differentially rotating polytropes and the collapse of rotating stellar cores

Astronomy and Astrophysics – Astrophysics

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Gravitational Collapse, Polytropic Processes, Stellar Cores, Stellar Rotation, Density Distribution, Stellar Evolution, Stellar Mass, Stellar Models

Scientific paper

Equilibrium models of axisymmetric, differentially rotating polytropes are used to estimate the properties of rotating stellar cores at the end point of their collapse. Results are presented for polytropes with adiabatic indices of 4.3, 1.32, 1.29, and 1.25. The results are in qualitative agreement with the results of earlier investigations, which did not allow for changes in the shape of the configuration, for the presence of density gradients, and for large differential rotation. The analysis shows that a rotating stellar core will not collapse all the way to neutron star densities on a dynamical time scale, if its initial ratio of rotational to gravitational energy is larger than some minimum value. The collapse stops due to rotation at an intermediate, dynamically stable, axisymmetric equilibrium state, and further evolution proceeds on a secular time scale.

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