arXiv 2002.065732020-02gr-qchep-th

渐近Reissner-Nordström非奇异黑洞时空几何中能量和动量的局部化

Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry

I. Radinschi, P. K. Sahoo, Th. Grammenos, S. Chattopadhyay, M. M. Cazacu

备注：: To appear in Universe
发表信息：: Universe, 6(5) (2020) 69
DOI：: 10.3390/universe6050069

摘要：

为了研究能量-动量局部化，考虑了一个新的四维球对称带电黑洞解的外部时空几何，该解通过广义相对论与非线性电动力学的耦合处处非奇异，对于小的$r$，它表现为de Sitter度规，并且渐近地表现为Reissner-Nordström度规.为了计算能量和动量分布，爱因斯坦、朗道-利夫希茨、温伯格和默勒的能量-动量复合体被应用。结果表明，在所有的公式中，能量依赖于黑洞的质量$M$，电荷$q$，两个参数$% a\in \mathbb{Z}^+$和$γ\in \mathbb{R}^+$，以及径向坐标$r$ .在每个处方中进行的计算表明，所有的动量都消失了。此外，还研究了$r$和$q$的一些极限和特殊情况，并尝试了它们与强引力透镜和微透镜的可能联系。

英文摘要：

The space-time geometry exterior to a new four-dimensional, spherically symmetric and charged black hole solution that, through a coupling of general relativity with a non-linear electrodynamics, is everywhere non-singular, for small $r$ it behaves as a de Sitter metric, and asymptotically it behaves as the Reissner-Nordström metric, is considered in order to study the energy-momentum localization. For the calculation of the energy and momentum distributions, the Einstein, Landau-Lifshitz, Weinberg and Møller energy-momentum complexes have been applied. The results obtained show that in all prescriptions the energy depends on the mass $M$ of the black hole, the charge $q$, two parameters $% a\in \mathbb{Z}^+$ and $γ\in \mathbb{R}^+$, and on the radial coordinate $r$. The calculations performed in each prescription show that all the momenta vanish. Additionally, some limiting and particular cases for $r$ and $q$ are studied, and a possible connection with strong gravitational lensing and micro lensing is attempted.

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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英文摘要：

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