Evaporation of Black Hole Under the Effect of Quantum Gravity

TL;DR

This paper explores how quantum gravity influences Hawking radiation and temperature in various black hole models, including charged and higher-dimensional black holes, revealing effects on their stability and radiation characteristics.

Contribution

It extends the Hawking temperature analysis to Reissner-Nordström-de Sitter and 5D charged black holes considering quantum gravity effects using the Hamilton-Jacobi approach.

Findings

Quantum gravity modifies Hawking temperature for the studied black holes.

Charge and correction parameters significantly affect black hole stability.

Quantum effects can lead to stable or unstable black hole conditions.

Abstract

This paper provides an extension for Hawking temperature of Reissner-Nordstr$\ddot{o}$m-de Sitter (RN-DS) black hole (BH) with global monopole as well as $5$D charged black hole. We consider the black holes metric and investigate the effects of quantum gravity ($\alpha$) on Hawking radiation. We investigate the charged boson particles tunneling through the horizon of black holes by using the Hamilton-Jacobi ansatz phenomenon. In our investigation, we study the quantum radiation to analyze the Lagrangian wave equation with generalized uncertainty principle and calculate the modified Hawking temperatures for black holes. Furthermore, we analyze the charge and correction parameter effects on the modified Hawking temperature and examine the stable and unstable condition of RN-DS BH with global monopole as well as $5$D charged black hole.