Gravitation collapse of spherical symmetry with non-uniform density
Gravitation collapse of spherical symmetry with non-uniform density
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DOI：
10.1007/s11464-006-0001-2
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发表时间：
2006-06
影响因子：
--
通讯作者：
Gu Chao-hao
中科院分区：
文献类型：
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作者：
Gu Chao-hao
质量足够大的星星在衰老时会因为引力而坍缩。许多研究人员试图描述这种崩溃过程。在星星具有球对称性且初始密度均匀的情况下进行了研究。本文将考虑初始密度不均匀的情况。当密度函数在中心较高且随半径减小时，将描述坍缩过程，此时由于碰撞，奇异性只会在中心出现。如果密度不是单调的，并且星星周围有高密度的壳层，证明了非中心碰撞奇点既可以在史瓦西球内出现，也可以在史瓦西球外出现，即：裸奇点可能会出来。
A star with sufficiently large mass will collapse in its senectitude because of gravitation. Many researchers have tried to describe this collapse process. Investigations have been conducted in the case that the star has spherical symmetry and the initial density is uniform. In this article, the case that the initial density is not uniform will be considered. When the density function is high in the center and decreasing with the radius, the collapse process will be described, and in this case, the singularity will only come out in the center because of collision. If the density is not monotonic and there is a crust with high density around the star, it is proved that the non-central collision singularity may come out either in the Schwarzschild sphere or outside of it, i.e., the naked singularize may come out.