具有奇异中心密度的自引力天体质量的基模振动
Self-gravitating astrophysical mass with singular central density vibrating in fundamental mode
摘要：
本文将中心具有奇异密度的自引力质量粘性液体的流体动力学模型与均质重质量不可压缩无粘液体的Kelvin基模模型并列考虑。特别注意的是给之间的差异频谱公式的频率和寿命的$f$模式的奇异和均匀的模型。在红巨星和恒星茧-中心有致密恒星形成核的球形气体尘埃云-前白矮星阶段的理论星震学背景下讨论了新获得的结果。
英文摘要：
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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