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.
Highlights
The black holes obey the laws of thermodynamics [1]
We studied the greybody factors of the Hawking radiation for the minimally and nonminimally coupled scalar fields in a higher dimensional Einstein-Gauss-Bonnet-dS black hole spacetime
The effects of various parameters, such as the angular momentum number l, the nonminimally coupling constant ξ, the cosmological constant Λ, the GB coupling constant α~, and the spacetime dimension d, on the greybody factor were studied in detail
Summary
The black holes obey the laws of thermodynamics [1]. This inspires Hawking’s pioneering works on the thermal radiation of the black hole, the so-called Hawking radiation [2,3]. It has been pointed out that if the Planck scale is of order TeV, as suggested in some extra-dimension models, the coupling constant α could be measured by LHC through the detection of the spectrum of the Hawking radiation of the black hole [31]. In this paper we would like to compute the greybody factor of the Hawking radiation of the EGB-dS black hole analytically and discuss the effects of various parameters, especially the GB coupling constant, on the radiation. A general expression for the greybody factor for arbitrary partial modes of a minimally or nonminimally coupled scalar in higher-dimensional SdS black hole was derived in [34]. Adopting a similar radial coordinate, we are able to derive the analytical results for the greybody factors for arbitrary partial modes of a scalar field in the EGB-dS black hole spacetime as well.
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