Tunnelling Effect and Hawking Radiation from a Vaidya Black Hole

TL;DR

This paper investigates Hawking radiation as a tunnelling process from a non-stationary Vaidya black hole, extending previous stationary black hole models to include dynamic mass changes and their effects on tunnelling probabilities.

Contribution

It extends Parikh's tunnelling framework to non-stationary black holes, specifically analyzing how the Vaidya black hole's dynamic mass affects Hawking radiation.

Findings

Tunnelling probability depends on the time-varying Bondi mass.

The result differs from stationary cases due to the dynamic horizon.

Hawking radiation is influenced by the rate of change of the horizon.

Abstract

In this paper, we extend Parikh' work to the non-stationary black hole. As an example of the non-stationary black hole, we study the tunnelling effect and Hawking radiation from a Vaidya black hole whose Bondi mass is identical to its mass parameter. We view Hawking radiation as a tunnelling process across the event horizon and calculate the tunnelling probability. We find that the result is different from Parikh's work because $\frac{dr_{H}}{dv}$ is the function of Bondi mass m(v).