Elastodynamics of self-gravitating matter: Nonradial vibrations of a star modeled by a heavy spherical mass of an elastic solid

Physics

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Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime, Mechanical And Elastic Waves, Vibrations

Scientific paper

The coupled equations of elastodynamics and Newtonian gravity are introduced to model large-scale fluctuations of very robust stellar matter possessing properties of Hookean elastic solid. Theory of non-radial pulsations of highly idealized star model is developed. Theoretical treatment of spheroidal and torsional non-radial gravitaion-elastic pulsations of a self-gravitating mass of elastic matter is presented in juxtaposition with Kelvin theory for heavy mass of inviscid liquid. Analytic form of frequency of spheroidal (s-mode) and torsional (t-mode) non-radial pulsations of the elastic star model is established.

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