在 f(R,Lm) 引力下具有 GUP 修正卡西米尔效应的可穿越虫洞

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-09-05 DOI:10.1016/j.aop.2024.169788
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引用次数: 0

摘要

可穿越的虫洞需要奇异物质才能保持稳定,这对虫洞的存在提出了挑战。量子力学通过产生负能量密度的卡西米尔效应提供了一种潜在的解决方案。在这项研究中,我们使用两个最大局部量子态模型:肯普夫、曼加诺和曼(KMM)模型以及德图内、加布里埃尔和斯宾德尔(DGS)模型,并结合广义不确定性原理(GUP)修正,来研究这种相互作用。我们首先假设一个静态和球面对称的莫里斯-索恩虫洞度量,推导出一般 f(R,Lm) 函数的场方程。然后,我们考虑了两种特定的引力模型:线性模型 f(R,Lm)=R2+αLm 和非线性模型 f(R,Lm)=R2+Lmn,其中 α 和 n 是自由参数。利用 GUP 修正的卡西米尔效应,我们推导出了这些虫洞的形状函数,并研究了它们的存在性。接下来,我们分析了每种情况下获得的虫洞解决方案,评估了半径为 r0 的虫洞喉部的能量条件。我们的研究结果表明,对于某些任意量,虫洞喉部的经典能量条件被违反了,这凸显了 GUP 参数对虫洞几何和物理特性的重要影响。此外,我们还探讨了每个模型的状态方程(EoS)行为。通过应用托尔曼-奥本海默-沃尔科夫(Tolman-Oppenheimer-Volkoff,TOV)方程,我们进一步研究了 KMM 和 DGS 虫洞解决方案的稳定性。最后,我们利用体积积分量子来确定这两个模型虫洞咽喉附近所需的奇异物质数量,从而全面了解维持虫洞稳定性所需的奇异物质分布。
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Traversable wormhole with GUP corrected Casimir effect in f(R,Lm) gravity

Traversable wormholes require exotic matter for stability, challenging their existence. Quantum mechanics offers a potential solution via the Casimir effect, which generates negative energy densities. In this study, we examine this interaction using two maximally localized quantum state models: the Kempf, Mangano, and Mann (KMM) model and the Detournay, Gabriel, and Spindel (DGS) model, incorporating Generalized Uncertainty Principle (GUP) corrections. We start by deriving the field equations for a generic f(R,Lm) function, assuming a static and spherically symmetric Morris-Thorne wormhole metric. We then consider two specific gravity models: a linear model f(R,Lm)=R2+αLm and a nonlinear model f(R,Lm)=R2+Lmn, where α and n are free parameters. Using the GUP-corrected Casimir effect, we derive the shape functions for these wormholes and investigate their existence. Next, we analyze the obtained wormhole solutions for each scenario, assessing the energy conditions at the wormhole throat with radius r0. Our findings indicate that, for some arbitrary quantities, classical energy conditions are violated at the wormhole throat, highlighting the significant influence of GUP parameters on the geometry and physical properties of wormholes. Additionally, we explore the behavior of the equation of state (EoS) for each model. We further investigate the stability of the KMM and DGS wormhole solutions by applying the Tolman–Oppenheimer–Volkoff (TOV) equation. Finally, we use the volume integral quantifier to determine the amount of exotic matter required near the wormhole throat for both models, providing a comprehensive understanding of the exotic matter distribution necessary for maintaining wormhole stability.

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Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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