空裸奇点时空中的潮汐力效应和约束轨道

Parth Bambhaniya, Siddharth Madan
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引用次数: 0

摘要

裸奇点是在非均质物质云的引力坍缩过程中形成的。奇点的最终性质取决于物质属性的初始条件和物质剖面的类型。这些裸奇点也可分为两类:类空奇点和类时奇点。施瓦兹柴尔德黑洞的类时空奇点可以与空类奇点和类时空裸奇点类时空区分开来。有鉴于此,我们研究了空裸奇点时空中的类时间约束轨道的前驱性,以及潮汐力效应和大地偏离特征。结果我们发现,在空裸奇点时空中的类时间约束轨道的轨道前移可以与施瓦兹柴尔德前移情况区分开来。潮汐力的径向分量有一个耐人寻味的轮廓,而角分量的轮廓则与施瓦兹柴尔德黑洞情况相当。然后对大地偏离方程进行数值求解,结果与施瓦兹柴尔德黑洞相似。这些特征可以用来区分这些奇点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Tidal force effects and bound orbits in null naked singularity spacetime
Naked singularities form during the gravitational collapse of inhomogeneous matter clouds. The final nature of the singularity depends on the initial conditions of the matter properties and types of matter profiles. These naked singularities can also be divided into two types: null-like and timelike singularities. The spacelike singularity of the Schwarzschild black hole can be distinguished from the null and timelike naked singularity spacetimes. In light of this, we investigate the precession of timelike bound orbits in the null naked singularity spacetime, as well as tidal force effects and geodesic deviation features. As a result, we find that the orbital precession of the timelike bound orbits in null naked singularity spacetime could be distinguished from the Schwarzschild precession case. The radial component of the tidal force has an intriguing profile, whereas the angular component has a profile which is comparable to that of a Schwarzschild black hole scenario. The geodesic deviation equation is then solved numerically, yielding results that resemble a Schwarzschild black hole. These characteristic features can then be used to discern amongst these singularities.
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