Shock wave emergence at the stellar surface and the subsequent gas expansion into a vacuum - The sphericity involvement

Astronomy and Astrophysics – Astrophysics

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Gas Expansion, Shock Wave Interaction, Stellar Cores, Stellar Envelopes, Gravitational Collapse, Spatial Distribution, Supernovae

Scientific paper

Attention is given to a solution to describe the shock wave passage through the outer envelope of the star and the following stellar matter expansion into a vacuum. The solution takes into account the sphericity of the flow in the neighborhood of the stellar surface. Calculations are performed for the case gamma = 4/3, n = 3 (gamma is the adiabatic index, and n is the peripheric politropic index). At the stage of the shock wave emergence, the sphericity is shown to affect mostly the spatial distributions of density and pressure by increasing their slopes from the surface to the center of the star. For the stage of matter expansion, the solution describes the pressure-dominated acceleration of the outer envelope at arbitrary moments of time even up to t approaches infinity, and prolongs the analytical treatment of the envelope dynamics up to the stage of free expansion, contrary to the plane-approximation consideration. The sphericity results in decreasing pressure, density, and velocity of Lagrangian layers.

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