Oscillations and collapse of compressible homogeneous rotating spheroids with electron degeneracy

Details Oscillations and collapse of compressible homogeneous rotating spheroids with electron degeneracy Oscillations and collapse of compressible homogeneous rotating spheroids with electron degeneracy

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...398..574c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 398, no. 2, p. 574-592.

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Degenerate Matter, Gravitational Collapse, Stellar Oscillations, Stellar Physics, Stellar Rotation, White Dwarf Stars, Computational Astrophysics, Differential Equations, Spheroids, Stellar Interiors, Stellar Models

Scientific paper

By generalizing earlier models, we formulate a set of ordinary differential equations involving several parameters for studying finite-amplitude oscillations and collapse of an initially unstable, rotating, compressible, homogeneous ellipsoid in which the velocity fields are linear functions of the coordinates and the fluid in the ellipsoid consists of degenerate electrons and nondegenerate nuclei. The dynamical behaviors of these homogeneous degenerate spheroidal models of white dwarf stars with finite surface pressure are obtained by the numerical integration of these equations. We find that the motions of most of these degenerate models are quite different from those of the corresponding nondegenerate models. The applicability of these models to unstable rotating white dwarfs is briefly discussed.

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