Hawking Radiation and Tunneling Mechanism for a New Class of Black Holes in Einstein-Gauss-Bonnet Gravity

TL;DR

This paper investigates Hawking radiation from a novel class of Einstein-Gauss-Bonnet black holes with zero mass and entropy but finite temperature, confirming radiation emission through multiple methods.

Contribution

It introduces a new black hole solution in Einstein-Gauss-Bonnet gravity and derives a general formula for Hawking temperature and backreaction in the tunneling framework.

Findings

Black holes emit Hawking radiation despite zero mass and entropy.

Derived a general formula for Hawking temperature in this class of black holes.

Confirmed radiation emission using both quantization and tunneling methods.

Abstract

We study the Hawking radiation in a new class of black hole solutions in the Einstein-Gauss-Bonnet theory. The black hole has been argued to have vanishing mass and entropy, but finite Hawking temperature. To check if it really emits radiation, we analyse the Hawking radiation using the original method of quantization of scalar field in the black hole background and the quantum tunneling method, and confirm that it emits radiation at the Hawking temperature. A general formula is derived for the Hawking temperature and backreaction in the tunneling approach. Physical implications of these results are discussed.