# Hawking radiation of linear dilaton black holes

## TL;DR

This paper calculates the semi-classical radiation spectrum of linear dilaton black holes, showing that their temperature matches surface gravity predictions at high frequencies, and that massless black holes do not radiate.

## Contribution

It provides an exact computation of the radiation spectrum for a specific class of non-asymptotically flat charged dilaton black holes, including the massless case.

## Key findings

- High frequency radiation temperature matches surface gravity
- Massless black holes do not radiate despite finite surface gravity
- Exact semi-classical spectrum for linear dilaton black holes

## Abstract

We compute exactly the semi-classical radiation spectrum for a class of non-asymptotically flat charged dilaton black holes, the so-called linear dilaton black holes. In the high frequency regime, the temperature for these black holes generically agrees with the surface gravity result. In the special case where the black hole is massless, we show that, although the surface gravity remains finite, there is no radiation, in agreement with the fact that massless objects cannot radiate.