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arXiv 2301.09334gr-qc
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一类新的可穿越指数虫洞度规

A new class of traversable exponential wormhole metrics

Partha Pratim Nath, Debojit Sarma

AI总结:

本文构建了一类新的可穿越指数虫洞度规,研究了其喉半径、稳定性、能量条件等性质,发现喉半径与空间分量及m值相关,且在喉附近违反零能量条件,形成新的可穿越虫洞类别。

摘要:

在这项工作中,我们构建了一类新的可穿越指数虫洞度规。首先,我们考虑了一个指数虫洞度规,其中时间分量是 $r$ 的指数函数,但度规的空间分量被固定为特定函数 $e^{\frac{2m}{r}+2αr}$。接着,我们构建了一个广义指数虫洞度规,其中空间分量是 $r$ 的指数函数,但时间分量被固定为特定函数 $e^{-\frac{2m}{r}-2αr}$。最后,我们考虑了时间分量和空间分量均为 $r$ 的广义指数函数的指数度规。我们还研究了它们的一些性质,包括喉半径、稳定性、能量条件,检查了奇异性,在曲率坐标下的度规,有效折射率,最内层稳定圆轨道(ISCO)和光子球,Regge-Wheeler势,并确定了曲率张量。喉半径被发现与虫洞的性质一致,并且不包含任何类型的奇异性,这些半径由 $r=m$,$r = \frac{-1+\sqrt{1+4αm}}{2α}$,$r=\frac{-1+\sqrt{1+8αm}}{4α}$,$r=m+\frac{1}α$,$r=m+\frac{2}α$ 等给出。最有趣的是,我们发现对于相同的空间分量和相同的 $m$ 值范围,它们的喉半径是相同的。此外,它们还在喉附近违反了零能量条件(NEC)。这些新构建的度规形成了一类新的可穿越虫洞。

英文摘要:

In this work we have formulated a new class of traversable exponential wormhole metrics. Here initially we have considered a exponential wormhole metric in which the temporal component is an exponential function of $r$ but the spatial components of the metrics are fixed as a particular function $e^{\frac{2m}{r}+2αr}$. Following that, we have constructed a generalised exponential wormhole metric in which the spatial component is an exponential function of $r$ but the temporal component is fixed as a particular function given by $e^{-\frac{2m}{r}-2αr}$. Finally we have considered exponential metric in which both the temporal and spatial components are generalised exponential function of $r$. We have also studied some of their properties including throat radius, stability, energy conditions, examined singularity, the metric in curvature coordinates, effective refractive index, innermost stable circular orbit(ISCO) and photon sphere, Regge-Wheeler potential and determined the curvature tensor. The radius of the throat is found to be consistent with the properties of wormholes and donot contain any types of singularities, which are given by $r=m$, $r = \frac{-1+\sqrt{1+4αm}}{2α}$, $r=\frac{-1+\sqrt{1+8αm}}{4α}$, $r=m+\frac{1}α$, $r=m+\frac{2}α$...etc. Most interestingly, we find that their throat radius is same for the same spatial component and the same range of values of $m$. In addition to these they also violate Null Energy Condition(NEC) near the throat. These newly constructed metrics form a new class of traversable wormhole.

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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