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arXiv 1811.03364gr-qc
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Einstein-Cartan引力中的荷电虫洞解

Charged Wormhole Solutions in Einstein-Cartan gravity

Mohammad Reza Mehdizadeh, Amir Hadi Ziaie

摘要:

在有电荷存在的情况下,得到了代表Einstein-Cartan理论({ \sf ECT})中虫孔构形的静态解.的解决方案是由一个恒定的红移函数与物质的内容组成的Weyssenhoff流体以及各向异性的物质和能量动量张量({ \sf EMT})的电场,一起概括的各向异性能量动量张量在爱因斯坦-麦克斯韦理论,以包括粒子的固有角动量(自旋)的影响。假设状态方程({ \sf EoS})$p_r={\sf w}_1ρ$和$p_t={\sf w}_2ρ$,我们得到了满足弱能和零能条件的精确虫洞解.依赖于在虫洞喉部的自旋平方密度的值,这些解决方案可以是渐近平坦的,de-Sitter或反de-Sitter。观测方面的虫洞的解决方案进行了研究,使用引力透镜效应。结果表明,喉道可以作为一个光子球,在其附近光偏转角具有任意大的值。此外,对于一类特殊的解决方案,当${\sf w}_1\rightarrow-{\sf w}_2$的透镜功能,本模型模仿的Ellis虫洞在弱场限制。

英文摘要:

Static solutions representing wormhole configurations in Einstein-Cartan theory ({\sf ECT}) in the presence of electric charge are obtained. The solutions are described by a constant redshift function with matter content consisting of a Weyssenhoff fluid along with an anisotropic matter and energy momentum tensor ({\sf EMT}) of the electric field which together generalize the anisotropic energy momentum tensor in Einstein-Maxwell theory in order to include the effects of the intrinsic angular momentum (spin) of the particles. Assuming the equation of state ({\sf EoS}) $p_r={\sf w}_1ρ$ and $p_t={\sf w}_2ρ$, we derive exact wormhole solutions satisfying weak and null energy conditions. Depending on the value of the spin square density at the wormhole throat these solutions can be asymptotically flat, de-Sitter or anti de-Sitter. Observational aspects of the wormhole solutions are also studied, using gravitational lensing effects. It is found that the throat can act as a photon sphere near which the light deflection angle has arbitrarily large values. Moreover, for a particular class of solutions, when ${\sf w}_1\rightarrow-{\sf w}_2$ the lensing features of the present model mimic those of the Ellis wormhole in the weak field limit.

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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