The self-similar expansion of matter in a vacuum after the emergence of a shock wave at a stellar surface

Astronomy and Astrophysics – Astronomy

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Hydrodynamic Equations, Shock Wave Propagation, Stellar Envelopes, Stellar Structure, Gas Expansion, Propagation Velocity, Roots Of Equations, Supernova 1987A

Scientific paper

Consideration is given to the self-similar solution to the hydrodynamic equations for the case when the outermost stellar layers are expanding after the emergence of a shock wave at the stellar surface. The conditions for validity of the self-similar solution are specified and calculations are performed for adiabatic indices gamma between 4/3 and 5/3 and for peripheral polytropic indices n between 1 and 15. It is shown that the self-similar solution describes the first three minutes of the SN 1987A outburst, when a soft X-ray pulse was generated. The increase in velocity of the outermost layer of SN 1987A during the expansion of matter in a vacuum after the emergence of a shock wave is estimated.

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