Tunneling Glashow-Weinberg-Salam Model Particles from Black Hole Solutions in Rastall Theory

Ali Övgün,Riasat Ali,Wajiha Javed

doi:10.1155/2018/3131620

Abstract

Using the semiclassical WKB approximation and Hamilton-Jacobi method, we solve an equation of motion for the Glashow-Weinberg-Salam model, which is important for understanding the unified gauge-theory of weak and electromagnetic interactions. We calculate the tunneling rate of the massive charged W-bosons in a background of electromagnetic field to investigate the Hawking temperature of black holes surrounded by perfect fluid in Rastall theory. Then, we study the quantum gravity effects on the generalized Proca equation with generalized uncertainty principle (GUP) on this background. We show that quantum gravity effects leave the remnants on the Hawking temperature and the Hawking radiation becomes nonthermal.

Highlights

General relativity is analogously linked to the thermodynamics and quantum effects which strongly support it [1,2,3]
The uncertainty principle is modified as a generalized uncertainty principle (GUP) [49, 50] to work on the effect of the quantum gravity which is applied to different areas
In Section 3. we use the GUPcorrected Proca equation to investigate the tunneling of massive uncharged vector particles for finding the corrected Hawking temperature of the black hole solutions surrounded by perfect fluid in Rastall theory

Summary

Introduction

General relativity is analogously linked to the thermodynamics and quantum effects which strongly support it [1,2,3]. This paper is organized as follows: In Section 2, we investigate the Hawking temperature of the black hole solutions surrounded by perfect fluid in Rastall theory using the tunneling of the massive vector particles. For this purpose we solve the equation of the motion of the Glashow-WeinbergSalam model using the semiclassical WKB approximation with Hamilton-Jacobi method. We use the GUPcorrected Proca equation to investigate the tunneling of massive uncharged vector particles for finding the corrected Hawking temperature of the black hole solutions surrounded by perfect fluid in Rastall theory.

Tunneling of Charged Massive Vector Bosons

GUP-Corrected Proca Equation and the Corrected Hawking Temperature

Conclusions