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arXiv 2108.07302gr-qcastro-ph.HEhep-th
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自相互作用势下Einstein 3-Form理论中的可穿越虫洞

Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential

Mariam Bouhmadi-López, Che-Yu Chen, Xiao Yan Chew, Yen Chin Ong, Dong-han Yeom

摘要:

在纯爱因斯坦引力下,我们用数值方法构造了一个对称的虫洞解,该虫洞由一个大质量的$3$形式的场支撑,其势包含一个四次自相互作用项。虫洞时空只有一个喉道,而且处处正则且渐近平坦。此外,它们的质量和喉道周长随着四次自相互作用项$Λ$的系数的增加而几乎线性地增加。零能量条件(NEC)的违反量与$3$ -形式的幅度成比例,因此随着$Λ$增加,NEC被较少违反,因为$3$ -形式的幅度随着$Λ$减小。此外,我们还研究了粒子在虫洞中运动的测地线。不稳定的光子轨道位于喉部。我们还发现,虫洞可以投下一个阴影,其表观尺寸小于史瓦西黑洞投下的阴影,但减少到它时,$Λ$获取一个大的值。最后讨论了该虫孔最内层稳定圆轨道的行为。本文的结果暗示的可能性,3-形式的虫洞可能是潜在的黑洞模仿者,只要$Λ$是足够大的,正是当NEC弱违反。

英文摘要:

We numerically construct a symmetric wormhole solution in pure Einstein gravity supported by a massive $3$-form field with a potential that contains a quartic self-interaction term. The wormhole spacetimes have only a single throat and they are everywhere regular and asymptotically flat. Furthermore, their mass and throat circumference increase almost linearly as the coefficient of the quartic self-interaction term $Λ$ increases. The amount of violation of the null energy condition (NEC) is proportional to the magnitude of $3$-form, thus the NEC is less violated as $Λ$ increases, since the magnitude of $3$-form decreases with $Λ$. In addition, we investigate the geodesics of particles moving around the wormhole. The unstable photon orbit is located at the throat. We also find that the wormhole can cast a shadow whose apparent size is smaller than that cast by the Schwarzschild black hole, but reduces to it when $Λ$ acquires a large value. The behavior of the innermost stable circular orbit around this wormhole is also discussed. The results of this paper hint toward the possibility that the 3-form wormholes could be potential black hole mimickers, as long as $Λ$ is sufficiently large, precisely when NEC is weakly violated.

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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