Greybody factor and power spectra of the Hawking radiation in the 4D Einstein–Gauss–Bonnet de-Sitter gravity

Cheng-Yong Zhang; Peng-Cheng Li; Minyong Guo

doi:10.1140/epjc/s10052-020-08448-z

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 874
https://doi.org/10.1140/epjc/s10052-020-08448-z

Regular Article – Theoretical Physics

Greybody factor and power spectra of the Hawking radiation in the 4D Einstein–Gauss–Bonnet de-Sitter gravity

Cheng-Yong Zhang¹, Peng-Cheng Li²^,3 and Minyong Guo²^c

¹ Department of Physics and Siyuan Laboratory, Jinan University, 510632, Guangzhou, People’s Republic of China
² Center for High Energy Physics, Peking University, No.5 Yiheyuan Rd, 100871, Beijing, People’s Republic of China
³ Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, No.5 Yiheyuan Rd, 100871, Beijing, People’s Republic of China

^c minyongguo@pku.edu.cn

Received: 9 June 2020
Accepted: 8 September 2020
Published online: 22 September 2020

Abstract

A novel 4D Einstein–Gauss–Bonnet gravity was recently formulated by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)]. Although this theory may run into trouble at the level of action or equations of motion, the spherically symmetric black hole solution, which can be successfully reproduced in those consistent theories of 4D EGB gravity, is still meaningful and worthy of study. In this paper, we investigate Hawking radiation in the spacetime containing such a de Sitter black hole. Both the greybody factor and the power spectra of the Hawking radiation of the massless scalar are studied numerically for the full range of various parameters, including the GB coupling constant $α$ $\alpha$ , the cosmological constant $Λ$ $\Lambda$ and the coupling constant related to the scalar filed $ξ$ $\xi$ . In particular, we find a negative $α$ $\alpha$ leads to a larger greybody factor than that of a $α \geq 0$ $\alpha \ge 0$ . While, for the power spectra of the Hawking radiation the situation is quite the opposite. The reason is that the temperature of the black hole would be very high when $α < 0$ $\alpha <0$ . Actually, we observe that the temperature would be arbitrarily high when $α$ $\alpha$ approaches to the lower bound.

© The Author(s) 2020

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