Hawking radiation from dynamical horizons

TL;DR

This paper demonstrates that dynamically evolving black hole horizons can have an associated Hawking temperature, calculates the resulting Hawking flux, and shows the horizon radius decreases over time.

Contribution

It establishes a local framework for assigning Hawking temperature to dynamical horizons and computes the flux and horizon evolution.

Findings

Horizon temperature can be defined locally for dynamical black holes.

Hawking flux is calculable in evolving black hole scenarios.

Horizon radius decreases as a result of Hawking radiation.

Abstract

In completely local settings, we establish that a dynamically evolving black hole horizon can be assigned a Hawking temperature. Moreover, we calculate the Hawking flux and show that the radius of the horizon shrinks.