# Modified Fermions Tunneling Radiation from Non-stationary, Axially Symmetric Kerr Black Hole

## TL;DR

This paper investigates how quantum gravity corrections affect fermion tunneling radiation from non-stationary Kerr black holes, revealing temperature and tunneling rate modifications linked to horizon angular parameters.

## Contribution

It introduces a modified fermion motion equation and Hamilton-Jacobi equation incorporating quantum gravity effects for non-stationary Kerr black holes.

## Key findings

- Hawking temperature is corrected by quantum gravity effects.
- Tunneling rate depends on horizon angular parameters.
- Corrections are significant in non-stationary backgrounds.

## Abstract

In this paper, by applying the deformed dispersion relation in quantum gravity theory, we study the correction of fermions' tunneling radiation from non-stationary symmetric black holes. Firstly, the motion equation of fermions is modified in the gravitational spacetime. Based on the motion equation, the modified Hamilton-Jacobi equation has been obtained by a semiclassical approximation method. Then, the tunneling behavior of fermions at the event horizon of non-stationary symmetric Kerr black hole is investigated. Finally, the results show that in the non-stationary symmetric background, the correction of Hawking temperature and the tunneling rate are closely related to the angular parameters of the horizon of the black hole background.