论文标题

能量和动量的定位在渐近的reissner-nordström非单明黑洞时空几何形状

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

论文作者

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

论文摘要

新的四维,球形对称和充电的黑洞解决方案的外部时空几何形状,通过将一般相对性与非线性电动力学的耦合耦合到无处不在的,对于小$ r $而言,它作为de de de de Sitter的指标,并且在reissner-num-num-num num num intrictric contrict中,它的行为是有效的,它是备用的。为了计算能量和动量分布,已经应用了爱因斯坦,Landau-Lifshitz,Weinberg和MøllerEnergy-Momentum络合物。获得的结果表明,在所有处方中,能量取决于黑洞的质量$ m $,电荷$ q $,两个参数$%a \ in \ mathbb {z}^+$和$γ\ in \ mathbb {r}^+$以及radial coordial coordial coordic $ r $。在每个处方中执行的计算都表明所有动量都消失了。此外,研究了一些$ r $和$ Q $的限制和特定案例,并尝试与强力透镜和微透镜有可能的联系。

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.

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