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全息暗能量支撑的可穿越虫洞的汤川修正

Yukawa modification of Traversable Wormholes supported by Holographic Dark Energy

Remo Garattini, Phongpichit Channuie, Kirill Zatrimaylov

arXiv 2608.29205首次发表:更新:

发表机构

Università degli Studi di Bergamo; I.N.F.N.- sezione di Milano; Walailak University(贝加莫大学; 意大利国家核物理研究所米兰分部; 瓦拉莱大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文针对全息暗能量支撑的可穿越虫洞,在四类能量密度分布中引入汤川修正,发现仅汤川-贝肯斯坦-霍金分布为正分布,其余或仅有限区域为正或始终为负,还解决了大距离处的发散问题。

AI 中文摘要

受全息暗能量(HDE)模型启发,我们扩展了文献[RGPC]中的分析,考虑了不同能量密度(HDE)分布上的汤川(Yukawa)形变。我们研究的分布包括:贝肯斯坦-霍金HDE、莫拉普(Moradpour)能量密度、标准雷尼(Renyi)HDE以及混合能量密度。借助形式为$p_{r}(r)=\omega _{r}\left( r\right) \rho (r)$的非均匀状态方程,我们考虑了零潮汐力。与原始情况不同,仅贝肯斯坦-霍金HDE分布族中受汤川项畸变的特定情况,在$r\rightarrow \infty $时会产生发散的$\omega _{r}\left( r\right) $。为了消除这种发散,我们在大距离处引入了修正以得到有限结果,这意味着零潮汐力可在非常大但有限的时空区域内施加,且该修正未改变喉道附近的状态方程行为。对于每个方案,我们计算了应力-能量张量的分量,发现汤川-贝肯斯坦-霍金HDE是唯一的正分布,而汤川-莫拉普和汤川-雷尼分布仅在有限区域内能量密度为正,其余的汤川-混合能量密度始终为负,这表明汤川畸变引入了一种负能量密度。

英文摘要

Inspired by holographic dark energy models, we extend the analysis performed in Ref.\cite{RGPC} taking into account Yukawa deformations on the different energy density (HDE) profiles. The profiles we have explored are: the Bekenstein-Hawking HDE, the Moradpour energy density, the Standard Renyi HDE and the Mixed Energy Density. With the help of an inhomogeneous Equation of State of the form $p_{r}(r)=ω_{r}\left( r\right) ρ(r)$, we have considered Zero Tidal Forces. Differently from the original case, only a particular case of the family of the Bekenstein-Hawking HDE profiles distorted by the Yukawa term has developed a divergent $ω_{r}\left( r\right) $ for $r\rightarrow \infty $. To cure such a divergence we have introduced a modification at large distances in order to have a finite result. This means that the Zero Tidal Forces can be imposed in a very large but limited region of the spacetime. Such modification did not change the behavior of the Equation of State close to the throat. For every proposal we have computed the components of the Stress-Energy Tensor. What we have found is that the Yukawa-Bekenstein-Hawking HDE is the only positive profile, while the Yukawa-Moradpour and the Yukawa-Renyi have a limited region where the energy density is positive. The remaining Yukawa-Mixed Energy Density is always negative. This means that the Yukawa distortion introduces a kind of negative energy density.

Comments18 pages

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