# Quantum gravity effects on Hawking radiation of Schwarzschild-de Sitter black holes

## TL;DR

This paper investigates quantum gravity corrections to Hawking radiation of Schwarzschild-de Sitter black holes, showing that these effects modify the temperature and emission spectrum, and relate tunneling rates to entropy changes.

## Contribution

It introduces quantum gravity corrections to Hawking temperature and radiation spectrum for SdS black holes using generalized equations and tunneling methods, including self-gravitation effects.

## Key findings

- Quantum gravity effects prevent temperature rise in SdS black holes.
- Tunneling rate relates to change in Bekenstein-Hawking entropy with corrections.
- Emission spectrum deviates from pure thermal spectrum due to conservation laws.

## Abstract

The correction of Hawking temperature of Schwarzschild-de Sitter (SdS) black hole is investigated using the generalized Klein-Gordon equation and the generalized Dirac equation by taking the quantum gravity effects into account. We derive the corrected Hawking temperatures for scalar particles and fermions crossing the event horizon. The quantum gravity effects prevent the rise of temperature in the SdS black hole. Besides correction of Hawking temperature, the Hawking radiation of SdS black hole is also investigated using massive particles tunneling method. By considering self gravitation effect of the emitted particles and the space time background to be dynamical, it is also shown that the tunneling rate is related to the change of Bekenstein-Hawking entropy and small correction term $(1+2\beta m^2)$. If the energy and the angular momentum are taken to be conserved, the derived emission spectrum deviates from the pure thermal spectrum. This result gives a correction to the Hawking radiation and is also in agreement with the result of Parikh and Wilczek.