Hawking radiation for higher dimensional Einstein-Yang-Mills linear dilaton black holes

TL;DR

This paper extends the computation of Hawking radiation spectrum to higher-dimensional linear dilaton black holes in Einstein-Yang-Mills-Dilaton and Einstein-Maxwell-Dilaton theories, revealing insights into their Hawking temperature.

Contribution

It applies an exact semi-classical radiation method to higher-dimensional dilaton black holes in EYMD and EMD theories, a novel extension of previous 4D results.

Findings

Hawking radiation spectrum derived for higher-dimensional black holes.

High-frequency radiation reveals information about the Hawking temperature.

Results demonstrate the method's applicability to complex black hole solutions.

Abstract

Recently, Hawking radiation from a $4-$dimensional linear dilaton black hole solution to Einstein-Maxwell-Dilaton (EMD) theory, via a method of computing exactly the semi-classical radiation, has been derived by Cl\U{e9}ment, et al. Their results show that, whenever solution is available to the massless scalar wave equation, an exact computation of the radiation spectrum leads to the Hawking temperature $T_{H}$. We apply the same method to derive Hawking radiation spectrum for higher dimensional linear dilaton black holes in the Einstein-Yang-Mills-Dilaton (EYMD) and Einstein-Maxwell-Dilaton (EMD) theories. Our results show that the radiation with high frequencies for these massive black holes reveal some remarkable information about the $T_{H}$.