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

Abstract

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.

Looking at Quantization of a Wave Function, from Weber (1961), to Signals from Wavefunctions at the Mouth of a Wormhole

“…We will be referencing [16] and [17], i.e. for [16] we have a rate of production from the wormhole mouth we can quantify as ( )…”

“…Whereas we have from [17] a probability for "scalar" particle production from the wormhole given by ( )…”

Quantum gravity correction to the thermodynamic quantities of the charged dRGT black hole

“…Black holes are laboratories where quantum gravitational effects cannot be neglected and GUP applications can be tested. In the context of this thought, it is reported that the thermodynamic parameters of a black hole depend not only on the black hole properties but also on the properties of the tunnelled particles [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. In light of these discussions, we focus on the thermodynamic quantities of the charged dRGT black hole by taking into account the quantum gravity effects.…”