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Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole

机译:量子重力校正2 + 1维虫洞的霍克辐射

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We carry out the Hawking temperature of a 2+1-dimensional circularly symmetric traversable wormhole in the framework of the generalized uncertainty principle (GUP). Firstly, we introduce the modified Klein-Gordon equation of the spin-0 particle, the modified Dirac equation of the spin-1/2 particle, and the modified vector boson equation of the spin-1 particle in the wormhole background, respectively. Given these equations under the Hamilton-Jacobi approach, we analyze the GUP effect on the tunneling probability of these particles near the trapping horizon and, subsequently, on the Hawking temperature of the wormhole. Furthermore, we have found that the modified Hawking temperature of the wormhole is determined by both wormhole’s and tunneling particle’s properties and indicated that the wormhole has a positive temperature similar to that of a physical system. This case indicates that the wormhole may be supported by ordinary (nonexotic) matter. In addition, we calculate the Unruh-Verlinde temperature of the wormhole by using Kodama vectors instead of time-like Killing vectors and observe that it equals to the standard Hawking temperature of the wormhole.
机译:在广义不确定性原理(GUP)的框架内,我们在框架内进行2 + 1维圆对称推动虫洞的霍克宁温度。首先,我们介绍了旋转0粒子的改进的Klein-Gordon方程,旋转1/2颗粒的改性Dirac方程,以及虫洞背景中的旋转1粒子的改进的载体玻源方程。鉴于这些方程在汉密尔顿 - Jacobi方法下,我们分析了对捕获地平线附近这些颗粒的隧道效应的GUP效应,以及随后在虫洞的抱怨温度上。此外,我们发现虫洞的改性霍克宁温度由虫洞和隧道粒子的性质决定,并表明虫洞具有与物理系统类似的正温度。这种情况表明蠕虫孔可以由普通(非疑称)物质支持。此外,我们通过使用Kodama向量而不是时间样杀伤载体来计算虫洞的近验Verlinde温度,并观察到它等于蠕虫的标准霍克宁温度。

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