SELF-GRAVITATING ASTROPHYSICAL MASS WITH SINGULAR CENTRAL DENSITY VIBRATING IN FUNDAMENTAL MODE

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 formulas 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.