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arXiv 1206.3077gr-qcastro-ph.GAhep-th
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强引力透镜能区分裸奇点和黑洞吗?

Can strong gravitational lensing distinguish naked singularities from black holes?

Satyabrata Sahu, Mandar Patil, D. Narasimha, Pankaj S. Joshi

摘要:

本文从宇宙监督的角度研究强场极限下的引力透镜,探讨裸奇点(如果它们存在于自然界中的话)是否可以与黑洞区分开来。我们研究了JMN时空中强场区域的引力透镜,JMN时空是一个球对称的几何结构,包含一个裸奇点,并且在有限半径之外与史瓦西度规光滑匹配。这个度量是一个玩具模型,最近被证明是引力坍缩的最终状态。在光子球的存在下,该时空的引力透镜特征与Schwarzschild黑洞完全相同,具有无限多的相对论性像和爱因斯坦环,它们都位于与光轴成一定临界角之外,并且内部相对论性像都聚集在一起。然而,在没有光子球的情况下,这是一个广泛的参数值的情况下,在这个时空中,我们表明,我们得到了许多相对论图像和爱因斯坦环合理地相互间隔,其中一些可以形成在相应的史瓦西黑洞的临界角内。这项研究表明,相对论图像和环的观察原则上可以让我们在没有光子球的情况下解开裸奇点的存在。本文的结果与以前对JNW裸奇点的研究结果相反,在没有光子球的情况下,径向焦散总是存在的,而在JMN几何中则不存在。我们还指出了在观察相对论图像时可能遇到的实际困难,并建议今后必须为此目的开发新的专门实验和技术。

英文摘要:

In this paper we study gravitational lensing in the strong field limit from the perspective of cosmic censorship, to investigate whether or not naked singularities, if at all they exist in nature, can be distinguished from black holes. We study the gravitational lensing in the strong field regime in the JMN spacetime, a spherically symmetric geometry that contains a naked singularity and which matches smoothly with Schwarzschild metric beyond a finite radius. This metric is a toy model which was shown recently to be the end state of gravitational collapse. In the presence of the photon sphere gravitational lensing signature of this spacetime is identical to that of Schwarzschild black hole with infinitely many relativistic images and Einstein rings, all of them located beyond a certain critical angle from optic axis and the inner relativistic images all clumped together. However, in the absence of the photon sphere, which is the case for a wide range of parameter values in this spacetime, we show that we get finitely many relativistic images and Einstein rings spaced reasonably apart from one another, some of which can be formed inside the critical angle for the corresponding Schwarzschild black hole. This study suggests that the observation of relativistic images and rings might, in principle, allow us to unravel the existence of the naked singularity in the absence of the photon sphere. The results obtained here are in contrast with the earlier investigation on JNW naked singularities radial caustic was always present in the absence of photon sphere, while it is absent in JMN geometry. We also point out the practical difficulties that might be encountered in the observation of the relativistic images and suggest that new dedicated experiments and techniques must be developed in future for this purpose.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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