Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de Sitter black hole

TL;DR

This paper analytically investigates how greybody factors for scalar fields in higher-dimensional Einstein-Gauss-Bonnet-de Sitter black holes depend on various parameters, revealing effects of non-minimal coupling and Gauss-Bonnet terms on Hawking radiation.

Contribution

It provides the first analytical derivation of greybody factors for scalar fields in these black holes, exploring parameter dependencies in detail.

Findings

Non-minimal coupling suppresses Hawking radiation.

Gauss-Bonnet coupling enhances Hawking radiation.

Greybody factors depend on angular momentum, coupling constants, dimension, and cosmological constant.

Abstract

We study the greybody factors of the scalar fields in spherically symmetric Einstein-Gauss-Bonnet-de Sitter black holes in higher dimensions. We derive the greybody factors analytically for both minimally and non-minimally coupled scalar fields. Moreover, we discuss the dependence of the greybody factor on various parameters including the angular momentum number, the non-minimally coupling constant, the spacetime dimension, the cosmological constant and the Gauss-Bonnet coefficient in detail. We find that the non-minimal coupling may suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance the radiation.