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arXiv 1409.2686gr-qc
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正能量支持的2+1维可穿越虫洞

2+1-dimensional traversable wormholes supported by positive energy

S. Habib Mazharimousavi, M. Halilsoy

摘要:

我们重新审视虫洞的喉部的形状,包括薄壳虫洞(TSW)在$2+1-$维度。特别地,在TSW的情况下,这是在平坦的$2+1-$维体时空中通过使用剪切和粘贴的标准方法来完成的。在脱离纯时间依赖的圆形形状时,即,对于喉道的$r=a\left( t\right) $,我们采用形式为$r=R\left( t,θ\right) ,$的$% θ-$依赖性闭环,并且根据$R\left( t,θ\right) $,我们发现喉道上的表面能密度$σ$。对于特定的凸形,我们发现支持虫洞的总能量是正的和有限的。此外,我们还分析了一般虫洞的喉道。通过考虑$r=R\left( θ\right) $而不是$r=r_{0}=const.,$的特定方程,并根据$R\left( θ\right) $的某些函数选择,我们发现虫洞的总能量为正。

英文摘要:

We revisit the shapes of the throats of wormholes, including thin-shell wormholes (TSWs) in $2+1-$dimensions. In particular, in the case of TSWs this is done in a flat $2+1-$dimensional bulk spacetime by using the standard method of cut-and-paste. Upon departing from a pure time-dependent circular shape i.e., $r=a\left( t\right) $ for the throat, we employ a $% θ-$dependent closed loop of the form $r=R\left( t,θ\right) ,$ and in terms of $R\left( t,θ\right) $ we find the surface energy density $σ$ on the throat. For the specific convex shapes we find that the total energy which supports the wormhole is positive and finite. In addition to that we analyze the general wormhole's throat. By considering a specific equation of $r=R\left( θ\right) $ instead of $r=r_{0}=const.,$ and upon certain choices of functions for $R\left( θ\right) $ we find the total energy of the wormhole to be positive.

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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