【摘要】 本文讨论了密度不均匀性对椭球引力坍缩的影响。如果椭球初始存在一个从中心到边缘的微小密度梯度,就会产生一个在坍缩后期不可忽视的压力。这个压力起抗衡引力坍缩的作用,作用的大小受热力学过程影响。满足多方过程pocp~v(v～5/3)的非均匀椭球会出现振荡。但对于初始偏心率很大的长椭球,反而会加强Lin,Mestal & Shu于1965年提出的不稳定性。更多还原

【Abstract】 The effect of the density inhomogeneity on the gravitational collapse of a spheroid is discussed. It is shown that a small initial inhomogeneity of the density which decreases toward the edge will lead to a considerable pressure gradient which tends to resist the gravitation at the late stage of the collapse. This effect depends strongly on the thermodynamic process. An oblate inhomogeneous spheroid will oscillate for the polytropic process p ∝ρv with v-5/3. However, for, a prolate inhomogeneous spheroid with a large initial eccentricity, the instability proposed by Lin, Mesial and Shu (1965) may even be strengthened.更多还原