Abstract
Nonradial pulsations of an isolated neutron star were studied in two continuum models — a self-gravitating spherical mass of an inviscid, incompressible fluid and an elastic Fermi continuum. A detailed analytical derivation of natural spheroidal and torsional oscillation frequencies of a neutron star of mass 1.4MΦ based on notions about neutron matter as an elastic Fermi continuum is given. A comparison of numerical estimates of natural frequencies shows that both models predict the same order of pulsations ∼ 104 Hz; however, the frequencies of spheroidal modes calculated in the elastic Fermi continuum model are about 2–2.5 times higher than the frequencies calculated in the framework of the Kelvin hydrodynamic theory.
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