Black Hole Evaporation in a Noncommutative Charged Vaidya Model

TL;DR

This paper investigates the effects of noncommutativity on charged Vaidya black hole evaporation, analyzing Hawking radiation, temperature behavior, and tunneling processes, revealing that black holes evaporate completely, ending as naked singularities.

Contribution

It introduces a noncommutative Reissner-Nordström-like solution for charged Vaidya black holes and studies its evaporation and Hawking radiation in this framework.

Findings

Black hole evaporates completely over time.

Noncommutativity modifies tunneling amplitude.

Charge reduces the black hole temperature to zero.

Abstract

The aim of this paper is to study the black hole evaporation and Hawking radiation for a noncommutative charged Vaidya black hole. For this purpose, we determine spherically symmetric charged Vaidya model and then formulate a noncommutative Reissner-Nordstr$\ddot{o}$m-like solution of this model which leads to an exact $(t-r)$ dependent metric. The behavior of temporal component of this metric and the corresponding Hawking temperature is investigated. The results are shown in the form of graphs. Further, we examine the tunneling process of the charged massive particles through the quantum horizon. It is found that the tunneling amplitude is modified due to noncommutativity. Also, it turns out that black hole evaporates completely in the limits of large time and horizon radius. The effect of charge is to reduce the temperature from maximum value to zero. It is mentioned here that the final stage of black hole evaporation turns out to be a naked singularity.