Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode

Details Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode

2009-05-04

arxiv.org/abs/0905.0313v4

Physics

Classical Physics

Mod. Phys. Lett. A, Vol. 24, No. 40 (2009) pp. 3257-3274

Scientific paper

The fluid-dynamical model of a self-gravitating mass of viscous liquid with singular density at the center vibrating in fundamental mode is considered in juxtaposition with that for Kelvin fundamental mode in a homogeneous heavy mass of incompressible inviscid liquid. Particular attention is given to the difference between spectral formulae for the frequency and lifetime of $f$-mode in the singular and homogeneous models. The newly obtained results are discussed in the context of theoretical asteroseismology of pre-white dwarf stage of red giants and stellar cocoons -- spherical gas-dust clouds with dense star-forming core at the center.

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