论文标题

潮汐力效应和周期轨道的裸机奇异性时空

Tidal force effects and periodic orbits in null naked singularity spacetime

论文作者

Madan, Siddharth, Bambhaniya, Parth

论文摘要

在不均匀物质云的重力崩溃期间形成了裸奇异点。奇点的最终性质取决于物质特性和物质概况类型的初始条件。这些赤裸裸的奇异性也可以分为两种类型:无效的和及时的奇异性。 Schwarzschild Black Hole的间距奇异性可以与空和静态的裸露奇异性空间区分开。鉴于这种情况,我们研究了空裸奇异时空中的时型绑定轨道的进攻,以及潮汐力效应和地球偏差特征。结果,我们发现,无效的裸奇异时空中的时光型轨道的轨道进动可能与Schwarzschild进动案例区分开。潮汐力的径向分量具有有趣的轮廓,而角组件的轮廓与Schwarzschild黑洞方案相当。然后,通过数值求解大地偏差方程,产生的结果类似于Schwarzschild黑洞。然后可以使用这些特征来辨别这些奇异性。

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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