论文标题

在广义vaydia时空的重力崩溃的情况下,永恒的裸奇异性形成

The eternal naked singularity formation in the case of gravitational collapse of generalized Vaydia spacetime

论文作者

Vertogradov, Vitalii

论文摘要

在本文中,我们考虑了总体化Vaidya时空的重力崩溃,当时此事满足了国家的方程式$ p = 0 $或$ p =-αρ$,其中$ 0 <α<1 $。我们表明,在物质领域的I型是灰尘的情况下,明显的地平线将永远不会出现,但是现在有一个无效的径向未来导向的大地测量学家族,过去终止于中心奇异。另外,我们表明,在负压的情况下,重力崩溃的结果可能是裸露的奇异性,明显的地平线出现,并且在很短的时间内再次消失。在负压的情况下,我们表明重力崩溃的结果可能是永恒的裸奇异性。

In this paper, we consider the gravitational collapse of generalized Vaidya space-time when the matter satisfies the equation of the state either $P=0$ or $P=-αρ$, where $0 < α< 1$. We show that in the case when type I of matter field is dust, then the apparent horizon will never appear, but there is now a family of null radial future-directed geodesics which terminated at the central singularity in the past. Also, we show that in the case of negative pressure, the result of the gravitational collapse might be the naked singularity and the apparent horizon appears and in very short time disappears again. In the case of the negative pressure, we show that the result of the gravitational collapse might be the eternal naked singularity.

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