论文标题
GUP在$ f(q)$重力中校正了Casimir虫洞
GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
论文作者
论文摘要
我们已经系统地介绍了在最近提出的修饰重力,所谓的对称远程引力或$ f(q)$重力中,广义不确定性原理(GUP)在Casimir蠕虫时空中的效果。这里$ Q $是推动重力交互的非金属标量。我们在我们的研究中考虑了两个著名的GUP关系,例如Kempf,Mangano和Mann(KMM)模型以及Detournay,Gabriel和Spindel(DGS)模型。除此之外,我们在位于喉咙的各向异性流体下使用三种不同的红移功能进行了研究。此外,我们分析了蠕虫孔喉咙上获得的能量条件,尤其是无效的能量条件(NEC)所获得的虫洞溶液,并遇到了一些任意数量不尊重半径蠕虫孔的经典能量条件$ r_0 $。后来,还讨论了ADM质量和体积积分量词,以计算虫孔喉咙附近所需的外来物质量。此外,我们在GUP的效果下显示了状态参数方程的行为。
We have presented systematically the effect of the Generalized Uncertainty Principle (GUP) in Casimir wormholes space-time in the recently proposed modified gravity, the so-called symmetric teleparallel gravity or $f(Q)$ gravity. Here $Q$ is the non-metricity scalar that drives the gravitation interaction. We consider two famous GUP relations, such as the Kempf, Mangano, and Mann (KMM) model and the Detournay, Gabriel, and Spindel (DGS) model, in our study. Besides this, we investigate with three different redshift functions under anisotropic fluid located at the throat. Further, we analyzed the obtained wormhole solutions with energy conditions, especially null energy conditions (NEC) at the throat of the wormhole, and encountered that some arbitrary quantity disrespects the classical energy conditions at the wormhole throat of radius $r_0$. Later, the ADM mass and the volume integral quantifier are also discussed to calculate the amount of exotic matter required near the wormhole throat. Additionally, we show the behavior of the equation of state parameters under the effect of GUP.