论文标题

量子重力校正2+1尺寸虫洞的鹰辐射

Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole

论文作者

Gecim, Ganim, Sucu, Yusuf

论文摘要

我们在广义不确定性原理(GUP)的框架中执行(2+1)维圆形的可对称蠕虫孔的鹰温度。首先,我们介绍了Spin-0粒子的修饰的klein-gordon方程,Spin-1/2粒子的修改式dirac方程和蠕虫孔背景中旋转1粒子的修饰矢量玻色子方程。鉴于在汉密尔顿 - 雅各比(Hamilton-Jacobi)方法下的这些方程式,我们分析了GUP对诱捕范围附近这些颗粒的隧道概率的影响,随后在虫洞的鹰温度下。此外,我们发现虫洞的修饰温度由虫洞和隧道粒子的特性决定,并表明虫洞的正温度与物理系统的正温度相似。这种情况表明虫洞可以得到普通(非陈述)物质的支持。此外,我们通过使用kodama矢量而不是类似时间的杀伤向量来计算虫洞的Unruh-verlinde温度,并观察到它等于虫洞的标准鹰温度。

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 (non-exotic) 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.

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