Tunneling Analysis of Kerr-Newman Black Hole-Like Solution in Rastall Theory

TL;DR

This paper investigates the tunneling radiation and stability of Kerr-Newman black holes in Rastall gravity, considering quantum gravity effects and surrounding matter, with results shown through graphical analysis.

Contribution

It introduces a detailed analysis of Hawking radiation and stability for Rastall gravity black holes, incorporating quantum gravity corrections and matter effects.

Findings

Quantum gravity affects Hawking temperature.

Rotation and matter influence black hole radiation.

Black hole stability depends on surrounding matter and quantum effects.

Abstract

Hamilton-Jacobi ansatz is used to analyze boson charged particles tunneling in Rastall gravity Kerr- Newman black hole (BH) surrounded by perfect fluid matter through the horizon. The geometrical BH parameters are observed, how these are affecting the radiation utilizing the Lagrangian gravity equation. In this article, the corrected Hawking temperature is computed by considering the effects of quantum gravity. In our analysis, the Rastall gravity BH solution surround by perfect fluid matter effects on Hawking radiation is analyzed graphically. Moreover, the stability and instability of Rastall gravity BH are investigated. The influence of quantum gravity and rotation parameters on BH radiation are also observed by graphical representation.