论文标题
GUP校正的Casimir Energy支持的可穿越的虫洞
Traversable Wormholes Supported by GUP Corrected Casimir Energy
论文作者
论文摘要
在本文中，我们研究了Garattini [Eur]最近提出的Casimir蠕虫时空中广义不确定性原理（GUP）的影响。物理。 J. C（2019）79：951]。特别是，我们考虑了三种类型的GUP关系，首先是KEMPF，Mangano和Mann（KMM）模型，其次是Detournay，Gabriel和Spindel（DGS）模型，最后是GUP原理II类型的II型模型。为此，我们考虑了红移功能的三个具体模型以及$ \ natcal {p} _r（r）=ω_r（r）ρ（r）ρ（r）ρ（r）ρ（r）ρ（r）ρ（r）ρ（r）ρ（r）ρ（r）ρ（p} _t _t _t（r）=ω_________________t（r）\ Mathcal {p} _r（r）a a as a a a as a a a a as a a a as a a as a a a a a a as a as a a as a a a as a a a as a a as a a y a a a y Mathcal {p} _r（r）=在GUP的效果下由Casimir Energy支持。此外，我们以半径为$ r_0 $在虫洞喉咙处检查了无效，较弱且状况良好，并表明总体上，经典能量状况在虫洞喉咙时被任意数量违反。重要的是，我们通过嵌入图进行了半古典校正检查虫洞几何形状。我们还考虑了虫洞的ADM质量，体积的积分量词以计算虫洞喉咙附近的外来物质的量以及光的偏转角。
In this paper, we investigate the effect of the Generalized Uncertainty Principle (GUP) in the Casimir wormhole spacetime recently proposed by Garattini [Eur. Phys. J. C (2019) 79: 951]. In particular, we consider three types of the GUP relations, firstly the Kempf, Mangano and Mann (KMM) model, secondly the Detournay, Gabriel and Spindel (DGS) model, and finally the so called type II model for GUP principle. To this end, we consider three specific models of the redshift function along with two different EoS of state given by $\mathcal{P}_r(r)=ω_r(r) ρ(r)$ along with $\mathcal{P}_t(r)=ω_t (r)\mathcal{P}_r(r)$ and obtain a class of asymptotically flat wormhole solutions supported by Casimir energy under the effect of GUP. Furthermore we check the null, weak, and strong condition at the wormhole throat with a radius $r_0$, and show that in general the classical energy condition are violated by some arbitrary quantity at the wormhole throat. Importantly, we examine the wormhole geometry with semi-classical corrections via embedding diagrams. We also consider the ADM mass of the wormhole, the volume integral quantifier to calculate the amount of the exotic matter near the wormhole throat, and the deflection angle of light.
