Self-similar gravitational collapse of radiatively cooling spheres

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  • D-125 輻射冷却を伴う重力収縮系の自己相似解

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Abstract

A new class of self-similar solution describing spherical implosions of gaseous masses under both self-gravitation and radiative heat conduction is investigated in detail, where the heat conductivity is modeled by a power-law of density and temperature. The reduced two-dimensional eigenvalue problem is solved to show that there are unique quantitative relations between the two physical effects for the self-similar motion. The resultant spatial and temporal behavior turn out to be quite unique with no possible controll parameter of the system, once the conduction mechanism is specified. Persistent entropy emission via radiation plays an important role in core formation with mass accretion, where the mass flux through a pseudo spherical surface at a fixed radius is prescribed to be time dependent in a power-law form.

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