Hawking radiation for scalar fields by Einstein-Gauss-Bonnet-de Sitter black holes

TL;DR

This paper investigates how scalar fields radiate from Einstein-Gauss-Bonnet-de Sitter black holes, analyzing the influence of various parameters on Hawking radiation using numerical methods.

Contribution

It provides a detailed numerical analysis of greybody factors and power spectra for scalar fields in Einstein-Gauss-Bonnet-de Sitter black holes, highlighting the effects of coupling constants and spacetime parameters.

Findings

Gauss-Bonnet coupling increases greybody factor across all energies.

Scalar coupling effects on greybody factor are non-monotonic and depend on Gauss-Bonnet constant.

Both coupling constants suppress Hawking radiation power spectra.

Abstract

We study the greybody factor and power spectra of Hawking radiation for the minimally or nonminimally coupled scalar field with exact numerical method in spherically symmetric Einstein-Gauss-Bonnet-de Sitter black hole spacetime. The effects of scalar coupling constant, angular momentum number of scalar, spacetime dimension, cosmological constant and Gauss-Bonnet coupling constant on the Hawking radiation are studied in detail. Specifically, the Gauss-Bonnet coupling constant always increases the greybody factor in the entire energy regime. Different from the case of Schwarzschild-de Sitter black hole, the effects of the scalar coupling constant on the greybody factor are not monotonic but relevant to the values of Gauss-Bonnet coupling constant. Moreover, both these two coupling constants always suppress the power spectra of Hawking radiation in the whole energy regime.