# Fermions Tunneling and Quantum Corrections for Quintessencial Kerr-Newman-AdS Black Hole

## TL;DR

This study investigates fermion tunneling and quantum corrections to Hawking temperature for Kerr-Newman-AdS black holes with quintessence, analyzing effects of correction parameters and black hole properties.

## Contribution

It introduces quantum corrected Hawking temperature calculations for charged fermions tunneling from Kerr-Newman-AdS black holes surrounded by quintessence, considering generalized uncertainty principle effects.

## Key findings

- Quantum corrected temperature vanishes at correction parameter β=100.
- Temperature behavior depends on quintessence parameter α, charge Q, and rotation a.
- Horizon size influences temperature differently for negative cosmological constant values.

## Abstract

This paper is devoted to study charged fermion particles tunneling through the horizon of Kerr-Newman-AdS black hole surrounded by quintessence by using Hamilton-Jacobi ansatz. In our analysis, we investigate Hawking temperature as well as quantum corrected Hawking temperature on account of generalized uncertainty principle. Moreover, we discuss the effects of correction parameter $\beta$ on the corrected Hawking temperature $T_{e-H}$, graphically. We conclude that the temperature $T_{e-H}$ vanishes when $\beta=100$, whereas for $\beta<100$ and $\beta>100$, the temperature turns out to be positive and negative, respectively. We observe that the graphs of $T_{e-H}$ w.r.t. quintessence parameter $\alpha$ exhibit behavior only for the particular ranges, i.e., $0<\alpha<1/6$, charge $0<Q\leq1$ and rotation parameter $0<a\leq1$. For smaller and larger values of negative $\Lambda$, as horizon increases, the temperature decreases and increases, respectively.