Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode
arXiv:0905.0313 · doi:10.1142/S0217732309032137
Abstract
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 -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.
Mod. Phys. Lett. A, Vol. 24, No. 40 (2009) pp. 3257-3274
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